{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "e2b51597",
   "metadata": {},
   "source": [
    "# Simulating interconnections of systems \n",
    "Sawyer B. Fuller 2023.03"
   ]
  },
  {
   "attachments": {
    "image-4.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "6934e483",
   "metadata": {},
   "source": [
    "This example creates a precise simulation of a sampled-data control system consisting of discrete-time controller(s) and continuous-time plant dynamics like the following.\n",
    "![image-4.png](attachment:image-4.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "02dab3bc",
   "metadata": {},
   "source": [
    "In many cases, it is sufficient to use a discretized model of your plant using a zero-order-hold for control design because it is exact at the sampling instants. However, a more complete simulation of your sampled-data feedback control system may be desired if you want to additionally \n",
    "\n",
    "* observe behavior that occurs between sampling instants,\n",
    "* model the effect of time delays,\n",
    "* simulate your controller operating with a nonlinear plant, which may not have an exact zero-order-hold discretization\n",
    "\n",
    "Here, we include helper functions that can be used in conjunction with the Python Control Systems Library to create a simulation of such a closed-loop system, providing a Simulink-like interconnection system. \n",
    "\n",
    "Our approach is to discretize all of the constituent systems, including the plant and controller(s) with a much shorter time step `simulation_dt` that we specify. With this, behavior that occurs between the sampling instants of our discrete-time controller can be observed. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5ffaa0e8",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np # arrays\n",
    "import matplotlib.pyplot as plt # plots \n",
    "%config InlineBackend.figure_format='retina' # high-res plots\n",
    "\n",
    "import control as ct # control systems library"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "39555216",
   "metadata": {},
   "source": [
    "We will assume the controller is a discrete-time system of the form\n",
    "\n",
    "$x[k+1] = f(x[k], u[k])$<br> $~~~~~~~y[k]=g(x[k],u[k])$ \n",
    "\n",
    "For this course we will primarily work with linear systems of the form \n",
    "\n",
    "$x[k+1] = Ax[k]+Bu[k]$<br> $~~~~~~~y[k]=Cx[k]+Du[k]$   \n",
    "\n",
    "The plant is assumed to be continuous-time, of the form \n",
    "\n",
    "$\\dot x = f(x(t), u(t))$, <br>$y = g(x(t), u(t))$\n",
    "\n",
    "For this course, we will design our controller using a linearized model of the plant given by  \n",
    "\n",
    "$\\dot x = Ax + Bu$, <br>$y = Cx + Du$ "
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "36d410a9",
   "metadata": {},
   "source": [
    "The first step to create our interconnected system is to create a discrete-time model of the plant, which uses the short time interval `simulation_dt`. Each subsystem gets signal names according to the diagram above, and we use `interconnect` to automatically connect signals of the same name. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "852cb7dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WdqYYKpkuPnLVqdCfof9n5WOR1mKJWEQjR8qQKVOm2P6uBg4caGRkZOTbLzc314iMjLRr+/XXX23n3nzzzUZmZqbDeTNmzLD1uffeex2O5/1pNmB88803Dn0yMjKMa665xgCMKlWqGNnZ2Q59ivKT3cKOHAGMUaNGGRaLxaHfo48+auuzc+dOh+PPP/+87firr77qcNxisRgPPvigrc+0adOKVGdeBY0ciYmJMXx9fW0/pQ8PD3fos3PnTsPPz88AjDp16hhZWVl2x4tj5MiqVasKNTIkOzvbSExMLPAeBalfv74BGMOHD79oX2e1Gob9x6XJZDIWL17s0GfPnj220TjVqlUzvLy8jC1btjj0W7ZsmcOIjLz27dtnGzHyxhtv5PvxlpubawwdOtQAjAoVKhjx8fEXfb4r+UzF8blh6tSptuOjR4/O95kefvhhu3+v+X18PvDAA7bPDceOHcv3Onn/DbzyyisOxzVyREREpORk5+QaUQnpxu7ws8bve6OMuZuOG5N+P2CMX7DbeOirv41bJ68x+vznB2Pgy5ONpya8bPzvlYeNH/6vn7H5tc5GxOsNjZzXKxZuFMil/spMuegzlDSNHCnHLBaDs2lZV7qMElPJ1xOzueD1JC6FxWJh0qRJANStW5e5c+fi5eWVb1+z2ezwk93PPvsMAA8PD2bNmoWnp6fDeaNGjWLBggWsXLmSRYsWERUVRa1atfK9x913383QoUMd2r28vHjiiSd47LHHiIuLIzQ0lDZt2hTpWS9FrVq1+PTTT/Ndy+P5559n5syZAKxfv5527drZjmVmZtqOtWrVKt81LUwmE9OmTeP3338nLi6OqVOnMnbs2GJ/hlmzZtnWapk8eTJBQUEOfdq1a8eECRN49dVXOXnyJD///DP33HNPsdYRHR1te92jRw+n/dzd3QkICCjWe1+ue++9lwEDBji0t2nThm7durFu3TpiY2N56aWX6Ny5s0O/vn37Ur9+fU6cOMH69et59tln7Y5/+OGHZGdn06FDB9544418P97MZjOffvopP/74IykpKSxcuJBRo0aV2mcqjs8N06ZNA6BGjRp89NFH+T7HlClTWLp0KbGxsfkeDwsL44cffgBg6tSpNGjQIN9+7dq1Y9y4cXzwwQfMnj2bt99+O99+IiIicnlSMnOITsyw/krKIDox/d/fM4lJtrafScnEx0gnyBRLPdNpgkyxBJliaGeKpZ4phrqmWHxMWZD/ty2u5eFr3d63HFA4UkacTcui/Vsrr3QZJWbHq72pUqH4//Xv3r3btqjoqFGjqFChQqHPzcnJYe3atYB1uHt+33SfM2rUKFauXElOTg5r1qxhyJAh+fZ78MEHnV6jffv2ttfHjh0rkXBk8ODBTsOiZs2aUaFCBVJSUmxTZ87ZsWOHbfHaESNGOJ0uExAQwL333sv06dMJDQ0tMDi6VCtXWv+dBAYGcvfddzvt9+ijj/Lqq6/azinucCTvc82aNYunn366WK/vSvfff7/TY23btmXdunUX7demTRtOnDjh8LEC1gVLAQYNGlTgorqBgYG0bt2a7du3s3nz5ssKR1z5TMXxuSEqKorQ0FDAGuT4+vrme36FChW49957bWHMhZYtW0Zubi6+vr7cfvvtTusAa2j3wQcfcOrUKcLDw6lXr16B/UVEROQ8wzBISs/hVGI60YkZRCVag49TdkFIBimZ1gVP3cmhtimOIFMM9UwxXGcLPmKo5xlD5cuZ+lIIFkwkuVcj2ac2mRXqUi3tMBUTD178xJYDyseUGhSOSDmza9cu2+vu3bsX6dxjx47ZRiTk95PlvPIe37t3r9N+zZs3d3qscuXKttfJycmFLfOyFFQPQKVKlUhJSXGoJ+8zFua9mT59uu284g5HztVy3XXX4eHh4bRfjRo1CA4OJiwsrMC/o0vVrVs3GjZsyLFjx3jmmWf47rvvGDhwID169KBjx475jiwAyM7O5uBB5/9RNWvWrMDnKg5NmzZ1eiwwMLBI/S78WDlx4oRt1MOECROYMGFCoWrKOxLnUrjymYrjc0NIyPmV4Dt27FjgNTp16uQ0HDm3w09aWhru7oX/Lz46OlrhiIiISB7JGdlEJWZwKiHd9vuphAyik9KJSrCGIenZuXnOMKhKEvVMp6lriuXaf9f8qOcRQ5A5hlrE4WYyXFpzlkcAmRWCsATWw6NKA7yrN8JcKRgqBWMODCLQ3YvAc52jQ6zb9TrbrQbA7A5dH3dpzaWJwhEpV86cOWN7XdRvyvMugpjfYox51axZM9/zLuTsp8NgnVZwTm5urtN+xamgeuB8TRfW44r35lKdu+bF6jhXS1hYmEvq8PDwsG3pun//frZt28a2bdsA8PHxoUePHgwbNoz77rvPbqTNyZMnad26tdPrHj9+nODg4GKvN6/CflwWpt+FHysxMTGXVFN+21oXhSufqTg+/otyjRo1ajg9dqXeXxERkbIkJ9dCdFIGpxKsocfJf3+dSrAGH6cS00nOcAwNfMkgyBRDI1MMN5piCXKPIejfECTIFIuvKdOldVvMnhgVgzBXDsZUKRgq1YdKwRBYHyrVx9OnEvn/+C0fNVvDwC+cb+drdrcer+n869KrjcIRkUtQ0FSA8q60vDeloY6WLVsSEhLC0qVLWbp0KevWrePIkSOkp6fzxx9/8McffzB58mR+++23QoU5V4O8wcLrr79e6OlMl7rzTkkrjo+7y7nGufe3atWqrF69utDnOVubREREpCxKz8rlZEIaEWfTOXn23/DjbPq/oz+sa35Y8hnE4U4OtUxxtDbFUs/tfPBxbt2PqqYk1xfvXytP4BFsF4CY/WsV7xSX1oOhWjPYPM26K012mnWNkZYDrCNGylEwAgpHyoxKvp7seLX3lS6jxFTyLXTmWSRVq1a1vY6KirroNJK88k5zOX36dIF9804ByHve1erC96agqQkFvTfnfjJvsVgKvF9qamqBtURFRV307yhvLc7quFgtBdVxjpubGwMGDLAtBhoVFcXvv//OZ599xo4dO9ixYwdjxoyxbQEbHByMYbh2yOWVVKVKFdtrDw8PrrnmmitYTfEojs8NlSpVKvQ1Cjp+7v1NTk6mRYsWLtsuW0RE5EpKzcwh8mw6EfFpRJ5NI/Ls+dEfkWfTiU91tpGFQRWSaGuKIcgc+2/4cT4AqWWKw91U8Nehl80r4IIRH8Hnf1UMAg9v197/QjVbw8Dp1u16c9Kti6+WkzVGLqRwpIwwm00uWaC0vLnuuutsr9etW0evXr0KfW7Dhg3x9fUlLS2Nv//+u8C+W7dutb121Td/pWFkxDl5n/Hvv/8ucD2Xgt4bf39/AM6ePVvg/Q4dOlRgLVFRUezcuZOcnByn6y7ExMRw4sSJAuu4WC0F1eFMrVq1GDlyJEOHDqVLly7s3LmTX3/9lfT0dHx8ir4SeGn6OCiMhg0bUrFiRRITE9m4ceOVLqdYFMfnhrxTqbZt28ZDDz3k9Brnpmflp127dnz//fdkZmayffv2i66BIiIiUhplZOcSeTaNiPh06+9n020hSER8GmfTsp2e60MGTf/d7aWebcrL+d/9XDz1BbMHBNbLJwCpb33tUwlK49dvZjN4lo2Ruq6icETKlbZt2xIUFERERAQzZ85k/Pjxhd6xxt3dnZ49e7J8+XL+/PNPIiMjqVu3br59z21r6+7uzo033lhc5dvx9ramypmZLv4EXwjt27cnMDCQhIQE5syZw3PPPWc3+uKc5ORkFixYAFinnFy47su5of2HDh0iOTnZLqQ458yZM/z5559Oa+nduzd//vknCQkJLFq0iHvvvTfffl999ZVthEbv3vajsvKu6bF9+3YGDRqU7zXmzZvntI6L8fDwoGfPnrYQJyEh4ZLCkdL0cVAYbm5u9O3bl3nz5rFixQr2799PixYtrnRZl6U4PjfUrl2bFi1asH//fn788Ufef//9fD8eUlNTbf+G8tOvXz9efPFFDMPg448/vqyPUREREVexWAyikzIIj08jIt4afkT8+zo8Po2YZOdf17iRS11TnC3sqGc39SWGaiUx9aVCTYcpL7Y/+9cCs0ZulkXlc7yMlFtms5kXXngBgMjISIYNG0ZWVv7D7iwWC6dOnbJrGzduHABZWVk88sgjZGc7ptZff/01K1asAODuu+8u9t1Yzjl33ZiYmBLbzcYZLy8vHn30UcC6A8fEiRMd+hiGwRNPPGFbFPeJJ55w6NOzZ0/A+v5++umnDsezs7N59NFHSU9Pd1rLyJEjbYtqjh8/npMnTzr02bNnD++88w4AderUsU15OadSpUq2rZNnzZqV74KtGzZsYMqUKU7rWL9+PUeOHHF6PCsry7b9a4UKFahWrZrTvgU593Fw9OjRSzr/SpgwYQJubm5YLBYGDx5s2147P7m5uXz33XcF9ikNiuNzw9ixYwHr1Jvx48fne59nn322wEVXmzVrZlvHZf78+UyePLnAuo8fP64ARUREXCIjO5dDp5P5M/Q0X204zhtL9jJi1lZu+nANzV/7nevf+4v7Z2zhhYX/8MmqwyzedZLtJ84Sk5xBZZJoazpCP/MmHndbwrvuX/Ktx9us83yag17D2eD1DPM83+YDjy95wn0J/d020c58pPiCEa8AqNEamt8JXZ+Avv+DB36EcVvh/6Lh+YPwyB9w9wzo9Qq0exCCb4CKdRWMlGEaOSLlzrhx41i6dCl//vknixcvpnXr1jz++ON06NABX19foqOj2bJlC/PmzeOBBx7gzTfftJ17xx13cM899/Djjz+yYsUKunTpwnPPPUfz5s05e/Ys8+fP5+uvvwas6wlc7BuTy3H99dcD1hDnscce48knn7RbU6Vx48Yuu3d+Xn/9dRYtWsSxY8d48803CQkJYeTIkdSqVYvjx48zdepU1qxZA0DXrl0ZPXq0wzXuuOMO6tevz4kTJ3jttdc4c+YMd999N97e3uzbt49PPvmEXbt20aVLF7Zs2ZJvHdWqVWPSpEmMGzeOyMhI2rdvz8svv8z1119PTk4OK1euZNKkSaSkpGAymZgxY0a+W+OOGzeOMWPGcPr0abp3785rr71Gs2bNiI+PZ9myZUybNo0OHTqwadOmfOtYtWoVEydOpHv37txxxx20adOGatWqkZ6ezqFDh/j888/ZuXMnAI888kiRtl3N6/rrr2f16tVs27aN9957j9tvv922eKmPjw916tS5pOu6UuvWrfnf//7Hs88+S2hoKNdccw2jR4/mpptuokaNGmRkZBAWFsbmzZtZuHAhUVFRhISEOB2NURoUx+eGsWPHMmvWLHbt2sX06dM5fvw4jz32mG2027Rp01ixYgUdOnSwbdmbn+nTp7N9+3aOHTvG+PHjWbJkCcOGDaNVq1Z4eXkRFxfHnj17+P333/nrr78YOHAgQ4YMcdl7IyIiV6+kjGzC49IIi0vlRFwaYWf+/T0utcDRH95k0sTJyI96JTL1xd069SWfRU+pFFx6p76ISykckXLHbDbz888/M3z4cBYuXMihQ4d45plnCn3+3LlzycnJYfHixezcuZOhQ4c69KlduzbLli1z6TemN910ky0k+P777/n+++/tjpf0op7+/v6sWrWK22+/nQMHDvDTTz/x008/OfS74YYb+OWXX/JdKNLT05Nvv/2W2267jdTUVD766CM++ugj23E3Nzc+/vhj4uPjnYYjAI8//jgJCQm89tprnD59mmeffdahj5eXFzNmzKBv3775XuPRRx9l+fLl/Pzzz4SGhjp889i6dWt++umnAkcGWSwW1q5daxshkp/+/fvz7rvvOj1+MWPHjmX69OnEx8czYcIEJkyYYDvWs2dPWyBV2jzzzDP4+fnxzDPPkJiYyKRJk5g0aVK+fT09PW3Th0qzy/3c4O7uzq+//spNN93EwYMH+f333/n999/t+txyyy2MHz+eW2+91WkdlStXZuPGjdx7772sX7+edevWsW7dOqf9AwICivCUIiJS3iSmZxN2JpWwuFSO5wk/TsSlOV341IyFOsRRz2zd5aXevwufngtCqpkSXV94hRr5r/lRKRgCamuEhzhQOCLlkq+vLz/++COrV69m1qxZbNiwgejoaHJzc6lRowbXXnstd955Z74/TfX29mbRokUsXbqU2bNns2XLFs6cOYOfnx9NmzZlwIABPPHEE4Vey+RSmc1mVqxYwQcffMDSpUs5evQoqampV3Snk+DgYPbs2cOXX37Jjz/+yN69e0lKSqJy5cq0a9eOBx98kAceeCDf9UjO6datGzt27ODtt99m1apVxMbGUrVqVa6//nqee+45rr/+ervRPM688sor3HnnnUydOpW//vqLU6dOYTabqVevHrfccgvPPPOM3doiFzKbzSxcuJAvvviC2bNnExoaCkCjRo247777ePbZZwtcI+T555+nTZs2rFy5kl27dnHq1CnbdIiaNWvSqVMnhg0bxh133HHRZylInTp12Lp1K++++y5r164lMjKSjIyMy7pmSRk1ahR33XUXX3zxBStWrODgwYMkJCTg5eVFnTp1aN26NX369GHQoEF2o6JKq+L43FC7dm127drF5MmTmT9/PkePHsXLy4vmzZszbNgwxowZU2DQcU7NmjVZt24dy5YtY968eWzevJno6Giys7MJDAykSZMmdO3albvuuosePXoU59sgIiJlUFpWDsdirQFI2JlUjp1J/TcQcRaAGFQimTa24COWINPpf3+PpY7pDB6mXNcW7envfNHTwHrg6eva+8tVx2RczXtGlqDIyEiCgoIAiIiIKNLw78OHD9t21WjSpImrShQREXE5/Z8mIlI65eRaiDybzvEzqRyNTeH4mVSOxVpHg0QnOf5gxZtM6v4bdtS7YMvbuqZY/E3O14ArFmZ369a2dgHIudfB4FtZU1/Kscv5/tsZjRwRERERERG5SiSmZXMkNoVjsSkcjU399/cUwuPTyM49/3NxMxZqEk+wOYbubnmnv1h/r25KcH2xftXzWfPj39f+tcFN365KydFHm4iIiIiISBlisRicTEjnSIw1+Dgam8LRmFSOnUnhTMq5aTAGgaQQZIqlmSmGPqYYgtxj/x0BEkMd0xk8XT71pcIFIz7yTn+pB55+rr2/SBEoHBERERERESmFsnIshMWlciQmxe7XsTMpZGRb8CLr36kvMTQzxVoDEI/zO78EuHrqi8kNAoPyCUAaWP/sW0VTX6TMUDgiIiIiIiJSFBYL5KSDuw8UsNB8YWXm5HL8TCqHTqdw5HQyh2NSOHQ6mfC4FKpa4q07vZhjaGSK5cZzO794xVCjRKa+VMtnzY9zu77U0dQXuWroI1lERERERKQwokNg82cQugSy08DDF1r2h67joGbri56elWPh+JlUDp5O5vDpZA6dTibqdDSms2HUNmJsC592+HfR07oesa6f+uLhZ7/Nbd4AJLAeeLl2B0aR0kLhiIiIiIiIyMWELITFY8CSc74tOw32zIOQH2HgF9B6MAC5FoPw+DQOnU7m6KkznDl5hMyYY7gnhVMHawByqymWUaYYAkxp4OHCuk1uULHuBQFI8PkAxK+qpr6IoHBERERERESkYNEhjsFIXpYcLD+NZsX6jcQnZ+CbGkFtYmhjiuVWU/z5fq767su3av6LntqmvrgyfRG5OigcERERERERKcjmz5wHI/8yk8ttMV+f+0Px8vAtYNeX+pr6IlIMFI6IiIiIiIj8yzAMYpIz2R+VxKHIWDKPbWLsyQUu/cbJMJkx/OtgrhycJwAJPh+A+FXT1BcRF1M4IiIiIiIi5VJOroVjZ1IJPZXEvlOJHDwVh0fUTlpl/kNXcyjDzYfxMmUXy70yPCqRWzEIj6oN8azawG4EiKliXUya+iJyRSkcERERERGRq15aVg4HopPZdyqJ0FNJhJ5K5Ej0WZrmHqWreR89zKE8Zz6EjynrkhdItWAissoNuFdtSECtxlSo2dg2Hcbby794H0hEipXCERERERERuaokZWSz76R1NMjek4nsPZXEsdgUMCy0MoXR1byPZ8yhdHQ7SAX3jGK7r7ntEOoNnF5s1xORkqNwREREREREyqyEtCz2nkwi5GQie08lsu9kImFxaQCYsNDcFEFP8z5ecg+ls/mAdevcIrBgJrFCAwJTjmPC4ryj2R26Pn45jyIiV5DCERERERERKRMS07PZdzKRf04mEhKZyD8nE4iIT8/Tw6CJ6STD3PbR1RxKZ/N+KptSinQPAxNZVVvi2agnpoY9MNe/nkreFSFkofPtfM3uMPALqNn68h5QRK4YhSMiIiIiIlLqpGbmEGILQRIJiUywjQg5z6CBKZqu5lCuN++jszmUaqakot+seksI7g4NumOqfwNevpUd+7QeDNWaweZpEPozZKdZt9htOcA6YkTBiEiZpnBERERERESuqOxcCwejk9kdkcCeiAT2RCZwJCYFi3FhT4MgUwxdzaG2XzVNZ4t+wypNoEF3ayAS3B0qVCvceTVbw8Dp0P8zyEkHdx8wm4t+fxEpdRSOiIiIiIhIiTEMgxNxaeyOSLCGIZEJ7DuVRFZO/ut51OaMNQhxC6WLOZS6pjNFv2mlBv+GIT0guBsE1Lq8hzCbwdPv8q4hIqWKwhEREREREXGZxPRs9kQksCs8gd0RZ9kdkcDZtGyn/atx1m5kSLD5dNFvWjHINk2G4O4QGHQZTyAi5YHCERERERERKRa5FoOD0cnsDD9rC0OOxqYWeE5lkujy75ohXc2hNDJHFf3G/rXsw5BKwWAyXdpDiEi5pHBExInZs2czcuRIAI4fP05wcLDd8RtvvJG1a9fSs2dP1qxZU/IFSrEYMWIEc+bMoX79+oSFhV3pcuQyBAcHc+LECYYPH87s2bOL/fpr1qyhV69eAKxevZobb7yx2O8hIlLWJKZlszPiLDtPnGVn+Fl2hyeQmpVb4DkVSaGLeT9d/h0Z0twcUfQb+1Y9H4Q06AFVGisMEZHLonBEREREREQuyjAMjsamsuNEPDtOnGVnuHXR1IvxJ42O5gO2kSEtTOGYTQ4rrRbMp5J1rZDgHtZQpFpzhSEiUqwUjojIJbvY6Jor5c033+Q///kPYP1CTkRERIouMyeXkMhEtp84y/YwayBS0Foh5/iSQUfzQbqaQ+li3kdr03HcihqGeAVA/RvOjw6pcY12hRERl1I4InKJNJXm6jB79myXTMEQEREpaxLSstgedpZtJ+LZEXaWf04mOt1BJi8vsmhvPkTXf9cNaWM6hoep4Kk1Djz8oP7158OQWm3B7HaJTyIiUnQKR0REREREyqHoxAy2hsWz9Xgc246f5eDp5EKd50k27UxH6OpmnSbTznQET1NO0W7u7gP1Op9fM6R2O3DzuISnEBEpHgpHRERERESucoZhEBaXxtbjcWw9fpatYXFExKcX6lx3cmhjOmYbGdLe7TDeZBWtADdPqNvJGoQ06A512oO71yU8iYiIa2jinhTMYoGsVOvvV5mzZ8/y8ssv07x5c3x8fKhevTq9e/fmxx9/LNT5N954IyaTyemOFbm5ucyePZtbb72VmjVr4unpScWKFWnSpAk333wz77zzDqGhoQXe47fffmPo0KE0bNgQPz8/vL29adCgAYMGDWL27NmkpaXZ9Z89ezYmkwmTyURYWBiZmZl8/PHHdOnShapVq2IymXjzzTcd7rN69WqGDx9Ow4YN8fX1JSAggNatW/PCCy9w6tQph/5r1qzBZDLZ1hsBaNCgge3e5345m3r0888/c88991CvXj28vb0JDAykQ4cO/Oc//+Hs2bMFvicFOff859YbARxqOvfenDNixAhMJpPT9VLOnXPufVu9ejUDBgygdu3a+Pj40KJFCyZOnEhqqv02hb/99ht9+/a19WvZsiXvvvsuWVkX/2IyIyODqVOncvPNN9s+ds59fH711Vfk5BTxp3Ol4JnCwsJ49tlnadWqFf7+/vj6+tKkSRPGjBlDSEhIoepevnw5ffv2pVq1avj6+tK0aVOee+45Tp48WaTn37lzJ4899hjNmjWjQoUK+Pn50axZM8aOHcuhQ4eKdC0RkdLKMAyOxKTw7ZYTPDlvF53eWUWv/63hpZ9C+GlnZIHBiBu5tDUd4TG3X5jj+R4h3qNZ5PUmL3gs4Aa3fYULRszuENQFerwAw36Bl8Nh5DK48SXr9BkFIyJSymjkiOQvOgQ2fwahSyA7DTx8oWV/6DoOara+0tVdtv3799O7d2+7b/wzMjJYtWoVq1atYuTIkfTo0eOSr5+SkkLfvn1Zv369XXt2djZJSUkcOXKEv/76i507d7Jw4UKH8+Pi4rjvvvtYtWqVw7GwsDDCwsJYtGgRYP3mPj9nzpxh4MCB7N6922mdGRkZjBw5kvnz5zsc27t3L3v37mX69OnMmzePfv36FfDEhXP27FkGDx7MX3/9ZdeemZnJjh072LFjB9OmTWPJkiV06dLlsu9X3N577z1eeeUVu0VeDxw4wOuvv87vv//OihUr8PX15ZlnnuGTTz6xO3f//v288sorrFu3jl9//RU3t/znUe/Zs4f+/ftz4sQJu/bY2Fjbx+cXX3zB0qVLqVGjRpl4prlz5zJ69GgyMzPt2o8cOcKRI0f46quvmDhxIhMmTHBa53PPPcdHH31k13b48GE++ugjvv32W3777beLPqvFYuH555/n448/dlio99ChQxw6dIiZM2fy2WefMXr06IteT0SkNDkXhmw5FseW4/H8fSyeMymZFz8RMGGhpSmcLuZ9dHMLpbPbQXyNtIufaHcRs3VqzLlpMvW6gKffJTyJiMiVoXBEHIUshMVjwJLnp9PZabBnHoT8CAO/gNaDr1x9lykpKYlbb73VFozcd999DB8+nOrVq3Po0CEmT57MrFmz2Lt37yXf480337QFI3feeScPPvigbZRETEwMu3bt4tdff8WUzxZ0aWlp9OrVy/bT9Pbt2zN69GiuueYavLy8iIiIYN26dfzwww8F1vDII48QEhLCsGHDuO+++6hZsybh4eF4eVl/UmMYBoMHD2bZsmUA9OvXj3vvvZeGDRtiNpvZunUrH374IeHh4QwePJiNGzfSoUMHADp27EhISAhLlizh1VdfBeCPP/6gdu3adjU0aNDA9jozM5PevXuzc+dO3NzceOCBB+jbty8NGjQgOzubdevWMXnyZGJiYujbty+7du2ifv36RXrfBwwYQIcOHZg2bRrTp08HyHdUQp06dYp0XbCOWti6dStdu3blySefpGnTppw5c4YpU6awfPlyNm3axLvvvkvlypX55JNPuP3223n00UcJDg4mMjKSd999ly1btvD777/z5Zdf8thjjznc48iRI/Ts2ZPExEQCAgIYN24cnTp1IigoiLi4OH755Re++OILtm3bRv/+/Vm/fj0eHpc+P7sknmnZsmWMGDECwzCoUKEC48ePp3fv3ri7u9uuf+bMGV555RUCAwMZO3aswzU+/vhjWzBSu3ZtJkyYQKdOncjIyGDZsmV8/PHH3HPPPQ4jqS705JNPMm3aNAB69OjBiBEjbKOl9uzZw8cff8y+ffsYM2YMNWvW5K677rrk91ZExNUMw+DYmVQ2H41j89E4thyLIy61cFNdTFhoaoqkqzmU7h776Ww+QAVLnvVGCrWxjAlqtckThnQF74BLehYRkVLBkGIRERFhYP2vxIiIiCjSuYcOHTJCQ0ONQ4cOOe+Um2sYKbGu/3VsnWH8p7JhvBHg/Nd/Klv7ubKO3NzL/Btx7vnnn7f9Xb3zzjsOx7OysoxbbrnF1gcwjh8/7tCvZ8+eBmD07NnT4VhQUJABGIMHDy6wlri4OIe2Z5991nbfcePGGRaLJd9zMzMzjejoaLu2WbNm2dU9c+ZMp/eeMWOGARgeHh7G8uXL8+0THx9vtGrVygCMG264weF43vvl9x7l9corrxiAERgYaGzfvj3fPmFhYUatWrUMwHjggQcKvF5B3njjDVtdFzN8+HADMOrXr5/v8bzv56BBg4ycnBy74zk5OUaXLl0MwPD39ze8vb2NZ555xuE6qampRv369Q3AaNOmTb73uv766w3AaNeunREbG5tvn+XLlxtms9kAjBkzZlz0+a7kM2VlZRm1a9c2AKNChQrGrl27HPrk/Tv39fV1eO7Tp08bvr6+tr+jqKgoh2usWrXKcHd3tz3T8OHDHfqsWLHiov8u0tPTjZtuusl2r+zsbLvjq1evtl1j9erV+V5DCvl/mohckvC4VOOHreHGM/N3GZ3e/tOo/9Kvhfy11Ljp5S+M/3vlaePPN281kv4bVPDXes5+fdbVMH570TBClxpGWvyVfjtEpBy7nO+/ndHIkbIiPR4mNbrSVVhZcmDOna69xwtHwa9qsV82KyuLr776CoA2bdrw8ssvO/Tx8PDgq6++omHDhmRnZ1/SfaKjowHo3r17gf0qV65s9+eEhAS++OILwDpiZMqUKfmOLgHw9PQscFrFTTfdxCOPPJLvMcMweP/99wF46qmnuO222/LtV6lSJSZNmkTfvn3ZuHEjhw8fpkmTJgU+U35SUlL47LPPAJg4cSLt27fPt1/9+vV57bXXePzxx/nxxx+ZMWMGfn6lY0iur68vM2bMcJg64ubmxujRo9myZQvJyckEBQXxwQcf5Hv+8OHD+e9//8s///xDYmIiFStWtB1fv349mzZtAmDOnDlUrZr/x/9tt93G4MGDWbBgAbNnz2bUqFGl9pkWL15sG6H16quvcu211zpco379+kyaNImhQ4eSlpbGrFmzeOGFF2zH58yZYxsR8uGHH1KzZk2Ha9x0002MGjXKNlooP++99x4AgwYNcvrvwtvbm6lTp9KyZUtOnDjB6tWr6dOnj9Nrioi4WmxyJpuOnmHjkTNsPlb4BVTBoL7pNF3NofTyOkgX0z4q5safOwSF3WW3arPzW+sGd3PJ12YiIqWFFmSVcmXHjh22BT+HDx/uNHioW7cut9xyyyXfp1atWgD88MMPFx3qn9dff/1l6//UU085XcOhMB588EGnx0JDQzl69CgAgwcXPEUq79ormzdvvqRa1q5dS2JiYpHul52dzY4dOy7pfq7Qp08fhzDrnLZt29pe33333U6nuuTtd/z4cbtjv/zyCwDNmjWjdeuC1/U59x5t27btshZndfUzrVy5ErAuAPvwww87reOee+6xhSrnzrnwGpUqVaJ///5Or1HQ9ZOSkmyLA1/s469Fixa2YOpSP95FRC5VamYOqw/EMPHXUG77eB0d317J0/N3s2B7wQuoAtQhlsFua5nmO4NdFZ5hrddzvOcxk1st688HIxdTuSFcNxwGfQXjD8ETW+GOD6HVAAUjInLV08gRKVfyrj/RsWPHAvt26tTJth5HUQ0fPpyJEyeyadMmGjRowD333MPNN99Mt27dqFatmtPzdu3aZXt9sVEnF9OmTRunx7Zv32573bVr10Jf89yImKLKe79zwVFR73f8+HGH3VPOqV69OtWrV7+k2gqradOmTo8FBgYWuV9ycrLdsXPv0cGDB52GdhfKzs4mPj7+kp/d1c90bt2eBg0aFPhx7+npSbt27VizZo3DWj/n/s22a9cOd3fn/2Vde+21eHp65rtzzq5du7D8u+PWkCFDGDJkiNPr5HWpH+8iIoWVnWvhn8gENhyOY+ORM+wMP0uOpVALflCDeLqaQ7nJ6wDXu++nanaU9YDl31+FEVgPgnucHx1SsehrcomIXC0Ujki5Eh9//icnF/uG8nJ2Annttdc4efIks2bNIiYmhs8++8w2raRVq1YMGjSIxx9/3OEeZ86csb0uSoiQn0qVKjk9FhMTc0nXLMoomOK+38iRI1m7dm2+/d544418tyguTr6+vk6Pmc3mIvfLzbUf01zSfyfg+mc69++tMOHNuekyef+NFuUa7u7uVK5cOd9A40q8tyIizpyIS2Xd4TOsPxTL5qNxJGcWbgRgVRLpYg7lRq8DdHffT43sSOsBAyjsLGD/2ueDkAbdoVLwpTyCiMhVSeFIWeFT2boOh6v99jzsW3zxfq3uhr6TXFeHT/5D/YtTYX86fynOrVsyfvx45s2bx19//cX27dvJyspi37597Nu3j8mTJ/Ptt98WOFXgchQ0JSfvN7FLly4lODi4UNe81BEKee+3c+fOQu+wUrdu3Uu6X1l07j1q27Yt3377baHPu5Sdd0pacfxbu5xr5P34++KLL7j++usLdV5BAaOISGElZWSz+Wgc6w/Hsu7QGcLjCxe8BpJMF/N+enjsp6fnAepk/7vFe1HCEL/qecKQHtZpMy78+kdEpCxTOFJWmM0lM9ez+3jYv9R+G1+HWtyh+3Nlcu5p3m92Tp8+XeB0gdOnT1/2/Vq2bMnEiROZOHEiGRkZbNiwge+//565c+eSkpLCkCFDOHr0qG2USN5FOKOiouy2wi1OVapUsb0ODAzkmmuuccl98rtftWrVLin0OLdmxNXq3HuUkpLi8r+PknJuPZPC/Fs6N+LjwjVQKlWqRHR09EWvkZOT4zDq5Jy8H3++vr5XzfsrIqWTxWIQcjKRtYdiWXcoll0RCeQWYqpMAKl0Mh/gBrdQenkdIDgnzzpOhQ1DfCpbF05t0MMaiFRrpjBERKSQFI6IvZqtYeAXsHhM/gGJ2d16vGbBC0aWVnkXuty2bVuB63ps27atWO/t7e1N79696d27N61bt+a5554jPT2dX3/91bbjyHXXXWfrv27dOpeFI+3atbO93rhxI926dbuk6xT2p/kX3u++++67pPsVlitHBblKu3bt2LRpE8eOHSM6OjrfXVnKmmuuuYbNmzdz/PhxYmNjna47kp2dbVtv58LgonXr1kRHR7N7925ycnKcrjuyZ8+efNcbAet6JCaTCcMw2LhxI0OHDr2MpxIRcRSXksn6w2dYczCGdYfPEJ+a/+ejvPxIp6P5gG1Hmca5xzCfWyyksGtte1eE+t3Ojw6p3tL6AzURESkyffYUR60Hw+g10PYB8Ph3rQEPX+ufR6+xHi+j2rdvbxs98s0332AY+f8k5+TJk6xYscJlddx8882213nXGenVq5dt69pPP/3UYQ2H4nLdddfZRm/MmDGDjIyMS7qOt7e37XVmZqbTfr1797atW/HJJ584fd+LS2HrKk3uuusuwLrN8pQpU65wNcWjd+/egPWZZs2a5bTfwoULbbsZnTvnwmvEx8ezdOlSp9f4+uuvnR6rVq0aXbp0AeD7778nNja2cA8gIuJErsVgZ/hZJv95iP5TN9Dh7ZU888Nuft59ymkw4k0m3cwhvOA+n6Xeb/CP92hme05ijPsymuYeOR+MFMTTH5rcAn0mWr8me/E4DPkeuoyFmtcoGBERuQz6DCr5q9kaBk6HCSfhlVPW3wdOL7MjRs7x8vJi5MiRAOzevZtJkxzXTcnJyWHUqFFOfwp9Mee+iSsoAMgbvOQdHRIYGMiYMWMA67bDzzzzjNPrZGdnX/JCk2azmVdeeQWAY8eOMWzYsAJDhKSkJKZOnerQnnfR2HNbA+cnMDCQJ554AoBNmzbx7LPP2nYPyc/p06eZOXPmRZ/DmcLWVZrccsstdOrUCYBJkyaxYMGCAvuHhIQUGBaUBgMGDKB27doAvP3223a7RZ0TERHB888/D1invJz793nO8OHD8fHxAeC5557Ld3rN2rVrmTFjRoG1vPrqq4D1Y3nw4MEkJCQ47ZuZmclnn312yaGhiFydEtKyWLL7JE/P30X7t/7k7mmb+GTVYfZEJpLff9VeZNHVvI9n3X9koed/2Os9im8932Wc+y+05jBuFOIHIB6+0OgmuPkNeHQVvBQGD/4INzwFtduB2fn6YiIiUjSaViMFM5vB0+9KV1GsXn/9dRYsWEBkZCQvvfQSu3fvZtiwYVSvXp1Dhw4xefJktm3bRocOHey2oC2spKQk7rrrLoKDg7n77rvp3Lkz9evXx93dnaioKJYuXWr7xr9OnTrceeeddudPnDiRP//8k5CQEKZOncrmzZsZM2YMrVu3xtPTk8jISNavX8+8efN46623GDFixCW9D4899hh//vknixcv5scff2Tnzp2MGTOGTp06UbFiRZKSkjhw4ABr1qzhl19+wdvb2xZwnNOuXTu8vb3JyMjgtddew8PDg/r169t2MKlTp47tG9v//ve/rF27lr///pspU6awZs0aRo0axbXXXoufnx9nz55l3759rFy5kuXLl9O6dWseffTRS3q2vAtuPvvss/zf//0ftWrVsk23CQ4OLnBb2Cvl+++/p1OnTsTHx3Pffffx7bffct9999GkSRPc3NyIiYlh165dLF26lC1btjB+/Hj69et3pct2ytPTkxkzZtCvXz+SkpK44YYbeOGFF7j55ptxc3Nj06ZNvPfee7aQ73//+5/dujtg3TVq4sSJPP/884SFhdG+fXsmTJhAp06dyMjI4LfffuOjjz6iTp06pKWlOR0V0rdvX55++mmmTJnCunXraNGiBY899hjdunWjSpUqpKamcuTIEdavX8+iRYs4e/Ysw4cPd/l7JCKll2EYHDydzF8HYlh9IIYdJ85S0NIhHuTQ1nSEruZQrjeH0t7tMJ6FXizkX25eENTp/JohddqDu+flPYiIiBRK6fvuQMTFKlasyO+//07v3r2Jjo5m3rx5zJs3z67PiBEj6Nmzp8NPsYsiLCyMyZMnOz1eq1YtlixZQoUKFezafX19+euvvxg0aBDr1q1jx44djB49+pLrcMZkMvHDDz/w9NNP8/nnn3P06FFefPFFp/3z26nG39+fp556ig8++ICdO3dyyy232B1fvXo1N954I2AdtfPnn38yYsQIFi1axJ49exzClrwCAgIu7cGAxo0bc++997JgwQJWrFjhMEXq+PHjhd6hpyQ1atSIzZs3M2jQIPbu3cvSpUsLHB1yOe9RSbnjjjuYNWsWY8aMITk5mddff53XX3/dro+bmxsTJ05k7Nix+V5j/PjxhIeH88knn3Dy5EmHj5uqVavy448/cs899xRYy0cffUTlypWZOHEi0dHRBW7/7OfnV+COTyJydcrIzmXT0TOs2h/DmoOxnExId9rXjVzamI7R1RxKF3MoHcyH8DUVcSqn2QPqdjgfhtTtCB7eFz9PRESKncIRKZdatWrFvn37eP/991m8eDHh4eH4+/vTunVrRo0axZAhQ5g9e/YlXbt+/fps3bqV3377jU2bNnHixAlOnz5NSkoKgYGBtGzZkn79+jF69Gin39xWrVqVtWvXsnjxYr7//nu2bNlCbGwsJpOJ2rVr0759ewYMGMCgQYMu412wbjk8bdo0xo4dy5dffsmaNWsIDw8nJSWFChUq0KBBA9q3b8/tt9/uMMLlnPfee48mTZowd+5c9u3bR2JiotO1Uvz9/fnpp5/YsGEDc+bMYf369Zw6dYr09HQCAgJo1KgRnTp14o477nAIWorq22+/pUOHDixcuJCDBw+SnJxc4FSe0qJp06bs3r2bBQsW8NNPP7Ft2zZiY2PJzc2lSpUqNGvWjG7dujFw4EC7BXxLs+HDh9OzZ08+/vhjVqxYQXh4OBaLhdq1a3PTTTfx5JNP2i2WnJ8pU6Zw66238sknn7Bt2zbS0tKoW7cuffv25YUXXijUDkgmk4nXX3+dhx56iM8//5y//vqLY8eOkZiYiK+vL0FBQbRr145bbrmFgQMH2kY9icjVLTY5k9UHYvhz/2nWH44lIzv//yvMWGhpCqOrOZSu5lA6mg/ib3IenuTL5AZ1rvt3a93uENT5qhuhKyJSVpkMV6+MWE5ERkYSFBQEWOfQF2Wr0sOHD9t2YWjSpImrShQREXE5/Z8mpZ1hGByOSeHP0NOs3H+a3REJ+a4ZYsJCc1OELQzpZN5PRVNa0W5mMkPNNtYgpEFPqNcFvPyL50FERMqxy/n+2xmNHBERERGRq1pOroVtYWdtgUh4fH4hh0Fj00lbGNLFHEplU0rRb1aj9fmtdetfDz6Bl1u+iIiUAIUjIiIiInLVSc/KZf3hWFaEnmbV/tOcTbtwcVSDBqbof8OQfXQx76eaKbHoN6rW/N9pMj0guBv4Vi6W+kVEpGQpHBERERGRq0JCWhar9sewIjSadYfOkJ5tvwZWXVOMbWRIV3MotUzxRb9Jlcbn1wwJ7g4VHBcsFxGRskfhiIiIiIiUWaeTMvhjXzS/743m7+Px5ObZb7cWcXQ177OGIW6h1DWdKfoNAuv/G4T0sP4eULsYqxcRkdJC4YiIiIiIlCmRZ9P4fW80y/dGs+PEWVt7NRL+XS9kH9ebQwk2ny76xQPqnh8V0qA7BNYrxspFRKS0UjgiIiIiIqXe8TOpLN8bxfKQaEJOWtcGqUwSffNMk2lsPlX0C1eoYT9NpnJDMJmKuXoRESntFI6IiIiISKl0JCaF30Ki+C0kigPRyQSQQhfzfu52t+4m08IcUfSL+la1Lpx6bqpM1SYKQ0REROGIiIiIiJQAiwVy0sHdB8xmp92OxVoDkV//iSIy+jSdzAcYZA6lq2coLU0nMJsMp+fmyzvQGoac21GmWvMC7y8iIuWTwhERERERcZ3oENj8GYQugew08PCFlv2h6zio2RqAsDOpLAuJYuWe4/jHbKOrOZT3zKG09jqGW1HDEK8AqH/9+akyNa4Bs5sLHkxERK4mCkdERERExDVCFsLiMWDJOd+WnQZ75mGE/MhfTV7lryh3asZvp6s5lNGmo3h45jq/Xn48/KBel/PTZGq1BTd9iSsiIkWj/zlEREREpPhFhzgGI3mYLDncdOBNbjZRtK9I3b0hqPP5MKTOdeDmUSwli4hI+aVwRERERESK3+bPnAYj5xRmHVTDzRNT3Y7np8nU7QjuXsVUpIiIiJXCkVLAzc2NnJwccnNzsVgsmLVImIiIlEEWi4XcXOuUCDc3rfFQnmVkZeO+9+dL+kLTYnLHVKc9pgbWMMRUtxN4+hZ7jSIiInkpHCkFvL29yczMxDAMUlJSCAgIuNIliYiIFFlKSgqGYV0808fH5wpXIyUt12Lw97E4Fu+MxLJvER+a0gt9bnLla/BrdhPmhj0x1+sCXhVcWKmIiIgjhSOlQEBAAImJiQBER0cDUKFCBY0gERGRMsFisZCSkmL7PwzA39//ClYkJWl/VBI/7zrJL7siaZO6gafdF9PSfKLwF/Dwwf+J9dpeV0REriiFI6WAn58fPj4+pKenk5uby8mTJzGZTBqSLCIiZUJubq5txAhYR434+fldwYrE1aIS01my+xQ/7zrJwehEbjNv42v3xbTwDC/6xVoOVDAiIiJXnMKRUsBkMlGvXj3Cw8NJT7cOQTUMg5ycghcxExERKW18fHyoV68epsKstCllSlpWDn/si+anHSfZePQMGBb6mrfysedimpsjLu2iZnfo+njxFioiInIJFI6UEmazmfr165OamkpycrJtFImIiEhp5+bmho+PD/7+/vj5+SkYuYpYLAZbw+L5aUckv4VEkZqVixkL/cxbeMJjMU3NJ52em1O5Ce6NboQds/LftcbsDgO/gJqtXfcAIiIihaRwpBQxmUxUqFCBChW0CJmIiIhcOSfiUvlp50kW74okIt46qtWMhf7mTTzp/jONzaecn1ytOfR4AfdWA8HsBu2Hw+ZpEPozZKeBhy+0HGAdMaJgRERESgmFIyIiIiJCamYOv4VE8eP2SLaGxdva3cjlLvMmnnD/mUbmKOcXqNYCer5oDT7yriFSszUMnA79P4OcdHD30RojIiJS6igcERERESmnDMNgZ3gCP26PYOmeU6RmnZ/S60YuA8wbecJ9MQ3Mp51fpHorayjS4q6CQw+zGTy1UK+IiJROCkdEREREypnY5EwW74pkwfZIjsSk2B1zJ4eBbhsY57aE4IJCkZqtoedL0OwOjQQREZEyT+GIiIiISDmQk2thzcFYFmyP4K8DMeRYDLvjHuRwt9t6xrn9TD1zrPML1WwDN74MzfqCFt8VEZGrhMIRERERkatY5Nk0FmyL4IftEZxOynQ47kEOg93WMs59CXVNZ5xfqHY760iRprcpFBERkauOwhERERGRq0x2roVV+2OYvy2ctYdiMQzHPp5kc4/bWsa6/1JwKFKnPfR8GZr0USgiIiJXLYUjIiIiIleJiPg05m8LZ8H2SGKTHUeJAHiRxb1ua3jc/RdqmeLz7QNA3Y7WUKTxzQpFRETkqqdwRERERKQMy8m1sHL/ab77O5z1h52PAPEii/vdVvOk169UtcQ5v2BQZ+v0mUY3KRQREZFyQ+GIiIiISBl0OimDeVvDmbc1PN+1RM7xIouRXmt43GMpATlxYHHSsV5XayjS8EaFIiIiUu4oHBEREREpIwzDYNPROL7ZfII/958m15LPYiL/8iaTl6puZEj2Yrwz4yDHScf63eDGlyC4u0IREREptxSOiIiIiJRyiWnZ/Lgjgu//DufYmdQC+9bwzmFina3cFD8f95QCFloN7m7dkje4WzFXKyIiUvYoHBEREREppfadSmTOpjCW7D5FZo6z+TBWXet6MaHaRlqfmIvpZAGhSIOe1lCk/vXFXK2IiEjZpXBEREREpBTJzrXwx75o5mwKY1vY2QL7+ni4cW+bQMb6/kXNfTNhfwELrTbsZQ1F6nUp5opFRETKPoUjIiIiIqXAmZRM5v0dznd/hxOdlFFg3ybVKzCyQxXuzlmG97bpkF5AiNK4t3Wh1aBOxVyxiIjI1UPhiIiIiMgVtCcigTmbwvj1nyiycp1PnfFwM3Frq5qMuK4S7aMXYNo0DTISnF+4yS3WUKRuh+IvWkRE5CqjcERERESkhOXkWvh9XzRfbzjOzvCEAvtW9/fiwc71eaBtANX2zYKfp0FGovMTmt4GPV+EOu2Lt2gREZGrmMIRERERkRKSmJbN/G3hzNkUxqnEgqfOtK9fieHXB3NbQ288t38OMz+HzAJCkWZ3WEOR2tcWb9EiIiLlgMIRERERERc7FpvC7E1hLNwRSVpWrtN+nu5m7mpbmxHXB3NNpVzY/Bks+wKykp1fvPmd1ukztdq4oHIREZHyQeGIiIiIiAsYhsHmo3F8teE4fx2MwTCc961V0ZuhXepzf8cgqphSYPPHsHUGZKU4P6nFXdaRIjVbF3vtIiIi5Y3CEREREZFilJ1r4dd/TjFj3XH2RyUV2LddvUAe6daA21rVxD0jHja9A1u/hOxUJ2eYoGV/ayhSo1XxFy8iIlJOKRwRERERKQbJGdnM2xrOrI1hRBWwnoib2UTf1rUYeUMw19WrBCmxsOp12PYVZKc5OcsE19wNPV6A6i1c8wAiIiLlmMIRERERkcsQlZjOrI1hzPs7nOTMHKf9ArzdGdK5HsO7BlM70AeST8Mf/2cNRXLS8z/JZIZrBllDkWrNXPQEIiIionBERERE5BKEnkpi5vpj/LLnFDkW5wuKNKzqx8gbghnUvi6+nu6QHA2//xe2fw05TkaYmMzQ+h5rKFK1iYueQERERM5ROCIiIiJSSIZhsOVYPNPXHmXdodgC+3YMrsToHo24uXl1zGYTJEXBqo9hx+wCQhE3aHMfdB8PVRsXe/0iIiKSP4UjIiIiIhdhsRis3H+aaWuOsjsiwWk/kwlua1WTUT0aWtcTAUg8CRs/hh1zIDfTyYlu0HYIdH8OqjQq9vpFRESkYApHRERERJzIzrXwy+5TfL72KIdjnG+r6+1h5p72QTzavQH1q/hZGxMiYMNHsOsbyM3K/0Sz+7+hyHio3MAFTyAiIiKFoXBERERE5ALpWbnM3xbOzPXHOZngZLFUoIqfJ8O6BvNQ1/pU9vO0NiaEw/rJsOtbsGTnf6LZA9o9CN2eg0r1XfAEIiIiUhQKR0RERET+lZiezdxNYczaFEZ8qpPRHkDdSj6M6dGQezoE4e3hZm08G2YNRXZ/X3Aoct1D0O1ZCKxX/A8gIiIil0ThiIiIiJR78alZfL3hOHM2hRW4HW+zGv6MvbERd7aphbub+d+Tj8P6/8Ge+WBxcq6bJ1w3zBqKVKzrgicQERGRy1Fi4ciJEyf45JNPWLZsGREREXh5edGoUSPuvfdexo0bh6+v72XfIywsjOnTp7Ny5UqOHj1Kamoq/v7+NG/enNtuu43HHnuM6tWrF8PTiIiIyNUgJjmDmeuP8+2WE6Rl5Trt175+JR6/sRE3Na+OyWSyNsYdhfUfWkMRw8m5bl7Qfjjc8AxUrFP8DyAiIiLFwmQYhuHqmyxdupShQ4eSlJSU7/GmTZuybNkyGje+9C3rvvnmG8aMGUN6uvN5wZUrV2b+/Pn06dPnku/jTGRkJEFBQQBERERQt65+KiQiIlJaRSWm88XaY8zbGk5mjsVpv17NqvF4r8Z0DK58vjHuKKybBP8scB6KuHtD+5Fww9MQUKuYqxcRESnfXPH9t8tHjuzatYv77ruP9PR0KlSowIQJE+jVqxfp6enMnz+fL7/8kkOHDnHHHXewfft2/P39i3yPjRs3MmLECCwWC2azmeHDh9O/f39q165NeHg4c+bMYenSpcTHx9O/f3/27t1Lw4YNXfC0IiIiUppFxKcxbc1RFu6IIDs3/58PmUzQt3Utxt3YmJa1A84fiD1knT4T8iMYTgIVdx/o8DDc8BT413TBE4iIiIgruDwcefrpp0lPT8fd3Z0VK1bQtWtX27GbbrqJJk2a8OKLL3Lo0CE+/PBD3nzzzSLf491338VisX6R8umnn/L444/bjnXs2JFBgwYxfvx4Jk+eTHp6OpMnT2bq1KmX/WwiIiJSNkTEpzH1ryP8tDOSHEv+oYib2UT/trV5vFdjGlevcP5A7EFY+wHs/QlwMuDW3Qc6PgLXPwX+NYr/AURERMSlXDqtZuvWrXTu3BmAMWPG8Pnnnzv0sVgsXHPNNezfv5/AwEBiYmLw8PAo0n0qV67M2bNnqVKlCmfOnMm3T2JiIoGBgQBcd9117Nixo2gPcxGaViMiIlL6WEeKHOHH7c5DEQ83E4Ouq8vYGxtRv4rf+QMx+62hyL7FOA1FPHyh46PWUKRCteJ/ABEREXFQ5qbV/Pzzz7bXI0eOzLeP2Wxm2LBhTJgwgYSEBFavXs0tt9xSpPtkZVm32mvQoIHTPhUrVqRq1aqcOXPG1l9ERESuTicT0pn615ECp894upu5v2MQY3o2ok6gz/kDp/dZQ5HQJTgNRTwrQKdR0PUJ8Kta/A8gIiIiJcql4ciGDRsA8PPzo3379k779ezZ0/Z648aNRQ5HmjVrxs6dOzl+/LjTPklJSbZRJc2aNSvS9UVERKRsOJmQzrTVR1iw3Xko4u1h5sHO9RndoyE1ArzPH4gOgbXvw/6lzm/g6Q+dR0OXceBXpZirFxERkSvFpeHI/v37AWjcuDHu7s5v1bx5c4dziuKxxx5j9OjRxMXF8fnnn/PYY4859Jk4caJdfxEREbl6RCdmMHX1YX7Y5jwU8XI3M7RLfcb0bEh1/zyhSNQe60iRA786v4FXAHQeA10eB9/KzvuJiIhImeSycCQjI8M2UuNi838qVaqEn58fqampREREFPleDz/8MBs2bGDu3LmMGzeOHTt2cNddd1GrVi3Cw8P55ptvbFN8/u///o/evXsX+R6RkZEFHo+KiiryNUVEROTyxKVkMn3NUb7ZcsLplrye7mYe7FyPsT0bUT3vSJFTu6yhyMHfnN/AqyJ0eQy6jAWfSsVcvYiIiJQWLgtHkpOTba8rVKhQQE+rc+FISkpKke/l5ubGnDlz6NevH++88w4zZ85k5syZdn169erFK6+8cknBCGBb7EVERESuvKSMbGauO8ZXG46TmpWbbx9PdzMPdKrH2Bsb2U+fObkD1rwPh/9wfgPvitapM53HgE9g8RYvIiIipY5LR46c4+npedH+Xl5eAKSnp1/S/fbv38/cuXMJCQnJ9/jmzZv56quvaNGiBXXq1Lmke4iIiMiVlZaVw+xNYXyx9hiJ6dn59vF0MzOkUxBjb2xMzYp5QpHI7bDmPTjyp/MbeAdaF1ntPNoakIiIiEi54LJwxNv7/BcjhdkdJjMzEwAfH5+L9HS0fv16+vXrR2JiIvXr1+ett96iT58+VK5cmdOnT/PLL7/w2muvMX/+fNatW8eKFSto1apVke5xsek+UVFRdOrUqci1i4iIyMVl5uTy/d/hfLb6KGdSMvPt4242cW/HIJ68qTG1Kub5eiJiqzUUObrK+Q18KllDkU6jwTugmKsXERGR0s5l4Yi/v7/tdWGmyqSmpgKFm4KTV2ZmJkOGDCExMZGaNWuyZcsWatasaTtet25dHn/8cXr27EmHDh04deoUw4cPZ/v27UW6T3HsmywiIiJFk2sxWLQzko9XHuZkQv6jS00mGHhtHZ7p3ZR6VXzPHwjfYg1Fjq12fgOfynD9k9Zteb38nfcTERGRq5pLR45UqVKFuLi4iy5mevbsWVs4UtS1PX7//XdOnjwJwJNPPmkXjOTVqlUrhg4dysyZM9mxYwd79uyhbdu2RbqXiIiIlAzDMFi1P4YP/jjAodPOf8hy+zU1ea5PU5rUyBNshG2Ete/B8XXOb+BbFW54Cjo8Al5F+8GMiIiIXH1cupVvy5YtWb9+PUeOHCEnJ8fpdr4HDhywvW7RokWR7pF369/rrruuwL7t27e3LdR64MABhSMiIiKl0I4T8by3/ADbws467dOzaTWev6UZrevmWRfk+HpY+z6ErXd+cb9qcMPT0OFh8PQrxqpFRESkLHNpONKtWzfWr19PamoqO3bsoHPnzvn2W7t2re31DTfcUKR75A1ccnJyCuybnX1+4TZnQY2IiIhcGUdikvng94OsCD3ttE+nBpV54dZmdAyubG0wDOsIkbXvw4mNzi9eoYY1FGk/Ejx9nfcTERGRcsmlCcGAAQN49913AZg1a1a+4YjFYmHu3LkABAYG0qtXryLdo0GDBrbX69ev584773TaN28Ik/c8ERERuXKiEzP4eOUhFmyPwGLk36d5TX9evr05PZtWw2QyWUORY2usoUj4ZucXr1ATuj0L7YeDR9EXfRcREZHywezKi3fq1Inu3bsD8NVXX7F5s+MXLx9++KFtaszTTz+Nh4eH3fE1a9ZgMpkwmUyMGDHC4fybb74ZX1/rT4CmT5/udCvf5cuXs3jxYgDq1KnDtddee6mPJSIiIsUgOSObSX8coOek1czfln8wUifQh4/ua8tvT3XnxmbVMQEcWQlf3wrfDHAejPjXhtsnwdN7oMtjCkZERESkQC6fWzJlyhRuuOEG0tPTueWWW3jllVfo1asX6enpzJ8/nxkzZgDQtGlTxo8fX+TrBwYG8vLLL/P666+TnJzM9ddfz5NPPkmfPn2oVKkSp0+fZsmSJXz55ZdYLBYA3nvvPcxml+ZCIiIi4kROroV52yL4+M9DxKVm5dunkq8HT9zUhKFd6uHl7mYdKXL4T+vuMycL2HEuoI51pEi7h8DD20VPICIiIlcbl4cj7dq144cffmDo0KEkJSXxyiuvOPRp2rQpy5Yts9v+tyheffVV4uPjmTJlCikpKbz77ru26Tx5eXh48M477zB06NBLuo+IiIhcOsMw+OtADO/8tp+jsan59vHxcOPR7g0Y1aMhAd4e1lDk0B/W6TMndzi/eMWgf0ORoeDu5aInEBERkatViaxK2q9fP/755x+mTJnCsmXLiIyMxNPTk8aNG3PPPffwxBNP2KbGXAqTycRHH31k26p3w4YNnDhxgrS0NCpUqEDjxo3p2bMnY8aMoWnTpsX4ZCIiIlIYe08m8s5v+9l0NC7f425mE/d3DOLpm5tQPcDbGooc+M0aikTtdn7hwHrQfTy0fQDcPV1TvIiIiFz1TIZhOFn6TIoiMjKSoKAgACIiIqhbt+4VrkhEROTKi0pM539/HGLRrkicfcXRu0UNXr69OY2rV/g3FFlmDUWi/3F+4cD60ON5aDsE3Dyc9xMREZGrjiu+/9Z+tiIiIlLs0rJy+HzNUWasP0ZGtiXfPtfUCeCVvi24vlFVsFgg9BdY+wGczn9xdQAqNbCGIm3uUygiIiIixUbhiIiIiBQbwzBYsvsU7y0/QHRSRr59alX05oVbmzHg2jqYMWDfz9ZQJGaf8wtXbgQ9XoDW94CbvnwRERGR4qWvLkRERKRY7I5I4D9L97ErPCHf436ebjzeqzGPdGuAtxsQugjWToLY/c4vWqUx9HgRrhmkUERERERcRl9liIiIyGU5nZTB+78fYNHOk/keN5tgSKd6PNO7KdX83GHfYutIkTMHnV+0atN/Q5G7wezmospFRERErBSOiIiIyCXJyM5l5vpjTFtzlLSs3Hz7dG9SldfubEnTar6w9ydYNwnOHHJ+0WrNrdNnWg1UKCIiIiIlRuGIiIiIFIlhGPyxL5q3lu0n8mx6vn2Cq/jyf3e0pHezypj2/gQLJkHcEecXrd4Ser4ILfqD2eyiykVERETyp3BERERECu1ITAr/WbqP9YfP5Hu8gpc7T97UmBFd6+K1byF89j+IP+b8gjWusYYizfspFBEREZErRuGIiIiIXFRKZg6frjrMVxuOk2MxHI6bTHBfhyDG39yQascWw/T/wdkw5xes2Rp6vgTN7lAoIiIiIlecwhERERFxyjAMlv4TxdvLQjmdlJlvn07BlXmjb2Naxf4Gs4dCwgnnF6zV9t9QpK81UREREREpBRSOiIiISL4ORifzxi972XIsPt/jNQO8efX2RtyRuxrTT6MhMdz5xWq3g54vQ9NbFYqIiIhIqaNwREREROwkZWTz8Z+HmbM5jNx8ptB4uJkYc0Ndnqy0Ba/VT0FSpPOL1WlvDUWa9FEoIiIiIqWWwhEREREBrFNoftlzireW7Sc2Of8pNDc1DuD9hnuotvt5SDrp/GJ1O1pDkcY3KxQRERGRUk/hiIiIiHD8TCqv/byXDUfy34WmQUUzn7XYS4ujX2FaF+X8QkFd4MaXoGEvhSIiIiJSZigcERERKccysnP5fO1Rpq05SlaOxeG4v3sOnzTZxY2x8zDtjnZ+oXrXW0ORBj0VioiIiEiZo3BERESknFp/OJbXft5LWFyawzFvMnmz1t/ck/kTbsdjnV+kfjdrKBLcXaGIiIiIlFkKR0RERMqZmKQMJi7bz9I9pxyO+ZDB435rGO2+DK+zcc4vEtwdbnwZgru5sFIRERGRkqFwREREpJzItRh89/cJJv1+kOTMHLtjvmQw3P1PnvBejl9OAuQ6uUjDG6HnS1D/eleXKyIiIlJiFI6IiIiUAwejk3l50T/sCk+wa/cjneFuK3jMczkBRhLk5H8+jW6y7j5Tr7PLaxUREREpaQpHRERErmIZ2blM/esIn689So7FsLVXII3hbisY5fEbgaSA4eQCjXtbR4oEdSqZgkVERESuAIUjIiIiV6m/j8UxYVEIx86k2tr8SWOE2+884r6cQFOq85Ob3GIdKVK3fQlUKiIiInJlKRwRERG5yiSmZ/Pe8v3M2xphawsglYfdl/Ow2+8EmBx3p7Fpejv0fBHqXFcClYqIiIiUDgpHRERErhKGYbB8bzRv/LKP2ORMACqSwsPuyxnp9jsBpnTnJze7wxqK1L62ZIoVERERKUUUjoiIiFwFTidl8OrPe/kz9DQAgSTziPtyRrj9gX9BoUjzO61ritRqU0KVioiIiJQ+CkdERETKMMMw+HFHJBN/DSU5I4dKJPGo+28Md1tBBVOG8xNb9oceL0LNa0quWBEREZFSSuGIiIhIGXUyIZ1XFoWw9lAslUniZfdlPOS2Aj9TppMzTNBqgDUUqdGyJEsVERERKdUUjoiIiJQxhmHw/dZw3v3tAF6ZcUxw/5WH3FbiW1Aocs3d0OMFqN6iRGsVERERKQsUjoiIiJQhEfFpvPTTPxw+epSn3X9lqNdKfExZ+Xc2meGawdDjeajWrGQLFRERESlDFI6IiIiUVhYL5KSDuw8WTMzdHMbXv29huLGEr71W4m3Kzv88kxla32sNRao2KdmaRURERMoghSMiIiKlTXQIbP4MQpdAdhoWdx/+dmtPYGouf7ptx8tpKOIGbe6zhiJVGpVszSIiIiJlmMIRERGR0iRkISweA5YcW5M5J52uORuc/69tcoO2Q6DHeKjcsGTqFBEREbmKKBwREREpLaJDHIKRghhmd0zXPgDdnoPKDVxcnIiIiMjVS+GIiIhIabH5s0IFIwYmTO2HY+r2HFSqXwKFiYiIiFzdFI6IiIiUBhYLxr4lmArR1eTuDXd8BGazy8sSERERKQ/0VZWIiEgpsGLPcUw5aYXrnJNu/SUiIiIixUIjR0RERK6gxLRsXv9lL8n//EofDzAVZuiIhy+4+7i8NhEREZHyQuGIiIjIFbLpyBnG/7iHNsnr+dzjk8IFIwAtB2hKjYiIiEgxUjgiIiJSwjJzcvlwxSG+XH+MfqZNTPaYhrvJUriTze7Q9XHXFigiIiJSzigcERERKUGHTifz9Pzd7I9KYrDbWj5wn4HZZNj1MTBhwnA82ewOA7+Amq1LqFoRERGR8kHhiIiISAmwWAzmbA7j3eUHyMqxMNTtT97ymOXYsf1ITO1Hwt+fQ+jPkJ1mXWOk5QDriBEFIyIiIiLFTuGIiIiIi8UkZfD8wn9YdygWgEfcfuM1j28dO3YeC7e9a12VdeB06P+ZdVcadx+tMSIiIiLiQgpHREREXOj3vdFMWPQPZ9OyAXjc7Wde9Fjg2LHbs3DzG/bb1ZjN4OlXQpWKiIiIlF8KR0RERFwgPSuX//66j3lbI/5tMXjWfSFPuy927HzjK9DzxULu4ysiIiIixU3hiIiISDHbH5XEk/N2cSQm5d8Wgwnu3zPGfZlj5z7/hRueLtH6RERERMSewhEREZFiYhgG32w5wVvL9pOVY92a14SFN93nMNz9T8cTbv8AOo8p4SpFRERE5EIKR0RERIpBQloWLy78hxWhp21tZiy84z6T+93XXNDbBP0+hvYjSrBCEREREXFG4YiIiMhl+vtYHM/8sJuoxAxbmxu5/M/jcwa6bbTvbDLDgOnQ9v4SrlJEREREnFE4IiIicolyci18+tcRPv3rMBbjfLsHOXzsMZU73Lban2B2h0EzodXAki1URERERAqkcEREROQSnEpI55n5u9kaFm/X7kUWM7yn0pPt9ie4ecI9c6B53xKsUkREREQKQ+GIiIhIEa0+EMOzC3aTkJZt1+5NJgsqfkqbzJ32J7h7w/3fQePeJViliIiIiBSWwhEREZFCysm18L8Vh/h87VGHYwHmDJZX+4w6iRcEIx5+8MB8aNCjhKoUERERkaJSOCIiIlII0YkZPDlvJ9vCzjocaxZo4aeAqVSIuSAY8QqAB3+Eel1KqEoRERERuRQKR0RERC5i7aFYnv1hN/GpWQ7HBjX34f2MN3GP3mN/wDsQHloMda4rmSJFRERE5JIpHBEREXEiJ9fCxysP89maIxiG/TEPNxP/vbk69x94ElNMqP1B36ow7Geo2brEahURERGRS6dwREREJB8xSRk8OW8Xfx+PdzhWJ9CHGQNq02rlQ3DmkP3BCjVh2BKo3ryEKhURERGRy6VwRERE5AIbj5zh6fm7OJPiOI2mT8safNinMgEL7oazx+0PBtSF4b9AlUYlVKmIiIiIFAeFIyIiIv+yWAymrz3KhysOYrlgGo272cTLtzfnkZZgmnsXJEbYd6gUDMN+gUr1S6xeERERESkeCkdERESAxPRsxi/Yw8r9px2O1a7ozacPXEd731iY1Q9Sou07VGkMw5dCQO0SqlZEREREipPCERERKfcORCfx2Dc7CItLczh2U/PqfHhPWyqlHIbZ/SE11r5DtRbWNUb8a5RQtSIiIiJS3BSOiIhIufbzrpO8vOgfMrItdu1mE4y/pRljezbCHL0bvhkI6WftT67ZBh76GfyqlFi9IiIiIlL8FI6IiEi5lJVj4e1loczZfMLhWGU/Tz65vx3dmlSFiK3w7WDITLTvVKcDDF0IPpVKqGIRERERcRWFIyIiUu5EJaYz7rud7AxPcDjWtm5Fpg1tT51AHwjbAN/fB1kp9p3qXQ8PLgAv/5IpWERERERcSuGIiIiUK5uPxvHkvJ35btP7QOd6vNGvJV7ubnBkFcx/EHLS7Ts1vBHu/x48/UqmYBERERFxOYUjIiJSLhiGwayNYbz9235yL9in18vdzNsDWzO4fV1rw8HfYcFDkHtBgNLkFrj3G/DwLqGqRURERKQkKBwREZGrXkZ2Lv+3eC8/7Yx0OBZU2YfPh7anVe2K1obQJbDwYbDk2Hds0Q8GfQ3uniVQsYiIiIiUJIUjIiJyVYtKTOexb3awJzLR4dhNzavz0b3XUtHXw9rwzwJY/BgYufYdrxkMA78AN/23KSIiInI10ld5IiJy1doeFs9j3+7kTEqmw7Gnb27C0zc3wWw2WRt2zoVfngLsp9xw7VC46xMwu7m+YBERERG5IhSOiIjIVem7v0/w5i/7yM61Dzv8PN2YfN+13Nqq5vnGrV/Cb887XqTDI9D3f2A2u7haEREREbmSFI6IiMhVJSvHwptL9/H93+EOx4Kr+DJjWAea1sizBe+mT2HFq44X6jIObn0bTCYXVisiIiIipYHCERERuWrEJGfw+Lc72X7irMOxHk2r8en97c6vLwKwdhKsfsvxQt2fh5teVTAiIiIiUk4oHBERkavC3pOJjJq7najEDIdjj/VsxAu3NsPt3PoihgF/TYT1HzpeqNer0PMFF1crIiIiIqWJwhERESnzlodE8eyC3WRkW+zavT3MfDC4LXe1rX2+0TDgj/+DLZ85XuiWt+D6J11crYiIiIiUNgpHRESkzDIMg0//OsLkPw85HKsT6MOMYe1pVbvi+UaLxbrw6vavHC/W93/QaZQLqxURERGR0krhiIiIlEkZ2bm8sPAflu455XCsU4PKTH/wOqpU8DrfaMm1btW7+9sLepusW/VeN8y1BYuIiIhIqaVwREREypyYpAxGzd3OnshEh2P3dwziv/2vwdM9z/a7udmw+DHYu9C+s8kNBn4Obe51ccUiIiIiUpopHBERkTJl78lEHp2znegk+4VXzSb4vzta8vANwZjy7jKTkwULR8KBX+0vZHaHwV9Dy/4lULWIiIiIlGYKR0REpMxwtvBqBS93Pn2gHb2aVbc/ITsDFgyDw3/Yt7t5wr1zodntLq5YRERERMoChSMiIlLqGYbB1L+O8GE+C68GVfbhq+EdaVrD3/5AVirMfwCOrbFvd/eBId9Do5tcV7CIiIiIlCkKR0REpFTLyrHw8qJ/WLTzpMOxTg0q8/nQ9lT287Q/kJkM390L4Zvs2z0rwAM/QHA3F1YsIiIiImWNwhERESm1EtOyGfPtdrYci3c4dl+HICYOuGDhVYD0BPh2EJzcbt/uFQBDf4KgTq4rWERERETKJIUjIiJSKoXHpTFy9laOxqbatZtM8H99W/BItwb2C68CpMbBNwMg+h/7dp9K8NBiqN3OtUWLiIiISJmkcEREREqdneFnGTVnO3GpWXbtPh5ufDqkHb1b1nA8KSUG5vaHmFD7dt+qMGwJ1LzGhRWLiIiISFmmcEREREqV5SFRPPPDbjJz7HekqebvxdfDO9K6bkXHk5JOwZy7IO6wfbt/LRj2C1Rr6sKKRURERKSsUzgiIiKlgmEYfLn+GO8uP4Bh2B9rXtOfr0Z0pE6gj+OJZ0/A3LvgbJh9e8UgGP4LVG7osppFRERE5OqgcERERK64nFwLr/+yj+//Dnc41r1JVaY9eB3+3h6OJ8YdtY4YSYq0b6/UwBqMBNZzUcUiIiIicjVROCIiIldUSmYO477bydpDsQ7HhnQK4r/9r8HDzex4YswB6xojKdH27VWbWtcYCajtoopFRERE5GqjcERERK6YmOQMRs7axr5TSQ7HXr69OWN6NHTckQYgOgTmDoC0M/bt1VvBsJ+hQnWX1CsiIiIiVyeFIyIickUci01h2NdbiTybbtfu6W7mo3uv5Y42tfI/8eRO+GYgZCTYt9e61rpdr29ll9QrIiIiIlcvhSMiIlLidoaf5ZHZ2ziblm3XXtnPky+HdaB9/Ur5nxj+N3w3GDIvGGlStxM8+CP4BLqmYBERERG5qikcERGRErUy9DRPzNtJRrb9Vr31Kvsy5+FONKjql/+Jx9fD9/dBdqp9e/0b4IEfwMvfRRWLiIiIyNVO4YiIiJSYeVvD+b/FIVgu2Kq3dZ2KfD2iI9X8vfI/8chKmP8g5GTYtzfsBfd/D56+rilYRERERMoFhSMiIuJyhmHw8crDTFl12OFYj6bVmP7gdfh5Ofkv6cBv8ONwyM2yb296G9wzBzy8XVCxiIiIiJQnCkdERMSlcnIt/N/ivfywPcLh2KDr6vLeoNb5b9ULsG8x/PQoWHLs21vcBYO+AndPF1QsIiIiIuWNwhEREXGZtKwcnvh+F38diHE4Nq5XI56/pVn+W/UC7JkPP48Fw35tElrfCwOmg5v+CxMRERGR4qGvLEVExCUS0rJ4ePY2doYn2LWbTPDfu1rxUNdg5yfvmA1LnwEuWJyk3UPQbwqY3Yq3WBEREREp1xSOiIhIsTudlMGwr7Zy8HSyXbuXu5kp97fjtmtqOj/57xmw/AXH9o6j4PYPwOxkCo6IiIiIyCVSOCIiIsUq7EwqD339NxHx6XbtFX08+Gp4BzoEV3Z+8sYp8Ofrju3XPwl9JlqHnYiIiIiIFDOFIyIiUmz2nUpk+NfbOJOSaddeI8CLbx7pTNMa/vmfaBiw9gNY847jsR4vQq9XFIyIiIiIiMsoHBERkWKx9Xg8j8zeRnKm/c4yDar6MffhTgRV9s3/RMOAVf+BDR85HrvpNejxvAuqFRERERE5T+GIiIhctlX7T/P4dzvJzLHfWaZV7QDmPNyJqhW88j/RMOD3CfD3dMdjt74DXce5oFoREREREXsKR0RE5LIs2hnJCwv/Iddiv7NM5waV+XJ4BwK8PfI/0WKBZc/BjlmOx+74EDo+6oJqRUREREQcKRwREZFL9vWG4/z311CH9t4tajD1gXZ4ezjZcteSC0uegD3fX3DABP2nQruhxV+siIiIiIgTCkdERKTIDMPgo5WH+WTVYYdjg66ry/uDWuPu5mTL3dxsWDQa9i2ybze5wd0zoPVgF1QsIiIiIuKcwhERESkSwzB4e9l+Zm447nBsVPcGTLi9BWazk51lcjJh4cNw4Ff7drMHDP4aWt7lgopFRERERAqmcERERArNYjF4dclevv873OHYi7c1Y2zPRpicbbmbnQ4/PARH/rRvd/OC+76Bpre6oGIRERERkYtTOCIiIoWSk2vhxYX/sGjXSbt2kwneGnAND3au7/zkrFSYdz8cX2ff7u4DQ+ZBo14uqFhEREREpHAUjoiIyEVl5Vh4at4uft8XbdfuZjbxv3vaMLBdXecnZyTBd/dAxBb7ds8K8OCPUP96F1QsIiIiIlJ4CkdERKRAGdm5PPbtDtYcjLVr93Az8emQdtx2TS3nJ6efhW8Hwckd9u1eFWHoTxDU0QUVi4iIiIgUjcIRERFxKiUzh0fnbGPLsXi7di93M58/1J5ezao7Pzn1DHwzAKJD7Nt9KsNDi6H2tcVer4iIiIjIpVA4IiIi+UpMy2bE7K3sCk+wa/fzdGPm8I50bVTF+cnJp2HuXRB7wL7drzoMWwI1WhZ/wSIiIiIil0jhiIiIOIhLyeShr7YSGpVk1x7g7c7shztxXb1Kzk9OjIQ5d0H8Uft2/9ow/Beo2sQFFYuIiIiIXDqFIyIiYic2OZMHvtzC4ZgUu/bKfp5880gnWtWu6Pzks2Ewpx8kXLDVb8V61mCkcoPiL1hERERE5DIpHBEREZuYpAyGfLmFo7Gpdu01Arz47tHONK7u7/zkM0esU2mS7Lf6pXJDGPYLBAa5oGIRERERkcuncERERAA4nZTBkBlbOHbGPhipE+jD96M6U7+Kn/OTYw5Yg5GU0/btVZtZ1xgJKGBHGxERERGRK0zhiIiIEJ1oHTFy/IJgpF5lX+aN7kKdQB/nJ0f9Y92VJi3Ovr3GNfDQz1ChWrHXKyIiIiJSnBSOiIiUc6cS0hny5RZOxKXZtQdXsQYjtSoWEIxE7oBvB0JGon177XYwdBH4VnZBxSIiIiIixUvhiIhIORZ5No0hX24hIj7drr1hVT/mje5CjQBv5yef2Azf3QNZyfbtQZ3hwR/Bu4CFW0VEREREShGFIyIi5VREfBr3z9jCyQT7YKRRNT/mjepC9YKCkWNrYd79kG0/2oTg7jBkPnhVcEHFIiIiIiKuoXBERKQcCo+zjhi5MBhpUr0C343qTHX/AoKRwyvhhwchJ8O+vdHNcP934FHANBwRERERkVLIXFI3OnHiBOPHj6d58+b4+flRuXJlOnbsyKRJk0hLS7v4BYpg5cqVjBgxgsaNG+Pn50fFihVp2rQpgwcPZvr06aSkpBTr/UREypKwM6ncN2OzQzDSrIY/80Z3KTgY2f+rdcTIhcFIs74wZJ6CEREREREpk0yGYRiuvsnSpUsZOnQoSUlJ+R5v2rQpy5Yto3Hjxpd1n7NnzzJy5EiWLFlSYL9du3Zx7bXXXta9LhQZGUlQUBAAERER1K1bt1ivLyJSHMLj0rhvxmaiEu3DjeY1/fnu0c5UqeDl/OS9P8FPo8DItW9vOQAGzQQ3j+IvWERERETkAq74/tvl02p27drFfffdR3p6OhUqVGDChAn06tWL9PR05s+fz5dffsmhQ4e444472L59O/7+/pd0n8TERPr06cOOHTsAGDhwIIMHD6ZRo0a4ubkRERHB2rVr+emnn4rz8UREyoyIeOtUmguDkZa1Avju0c5U8vN0fvLu72HJODAs9u1t7of+n4GbZmmKiIiISNnl8pEjPXr0YP369bi7u7Nu3Tq6du1qd3zSpEm8+OKLALzxxhu8+eabl3SfYcOG8c033+Dl5cWCBQu466678u1nGAa5ubm4uxfvF/IaOSIipdmphHTum7HZYVeaa+oE8O0jnQn0LSAY2T4Lfn3Gsf264XDnx2AusRmaIiIiIiIu+f7bpV/Rbt26lfXr1wPwyCOPOAQjAOPHj6dFixYATJkyhezs7CLfZ8OGDXzzzTcAvPXWW06DEQCTyVTswYiISGkWnZiR73a9LWsVIhjZMj3/YKTTGOg3RcGIiIiIiFwVXPpV7c8//2x7PXLkyPwLMJsZNmwYAAkJCaxevbrI95k6dSoAFStW5Iknnih6oSIiV6mYpAwe+HILJ+LsF74+t8ZIgcHI+snw+8uO7Tc8Dbe/DyZTMVcrIiIiInJluDQc2bBhAwB+fn60b9/eab+ePXvaXm/cuLFI98jKyrItwNqnTx+8va27LOTm5hIREUFYWBgZGRkFXUJE5KoUm5zJAzP/5tiZVLv2JtUr8G1Ba4wYBqx+F1b9x/FYz5eh938UjIiIiIjIVcWl4cj+/fsBaNy4cYFTWZo3b+5wTmHt2bPHFn60bt2apKQknnnmGapWrUq9evVo0KABFStWpE+fPqxZs6boDyEiUgbFp2YxdObfHImx37q8YTU/vhvVmarOdqUxDFj5Bqx9z/HYzW9ArwkKRkRERETkquOyxTcyMjI4c+YMwEUXR6lUqRJ+fn6kpqYSERFRpPuEhobaXlssFjp06MDhw4ft+mRlZbFy5UpWrVrFu+++y0svvVSke4B1wZeCREVFFfmaIiKukJCWxYMz/+bg6WS79gZV/Zg3qgvV/b3zP9EwrNNo/v7c8dht70GXsS6oVkRERETkynNZOJKcfP6L8goVKly0/7lwJCUl5aJ984qPj7e9fv/998nIyOC2227jv//9L23atCEpKYmffvqJl19+mcTERF5++WWaN29O//79i3SfcyvhioiUZolp2Qz96m/2RyXZtder7Mv3ozpTI8BJMGKxWBde3TnH8didH0GHh4u/WBERERGRUsJl02ryrvPh6VnAgn//8vKyDvFOT0+/SE97qann59JnZGTQp08ffv31Vzp27IiXlxfVqlXjscce49dff8X8764KEyZMwMU7GIuIlLiUzByGzdrK3pP2wUidQB++H9WZWhV98j8xNwd+HusYjJjMMGC6ghERERERueq5bOTIuYVRwTqt5WIyMzMB8PFx8sV7Ie4D1tEjbm5uDv26devG3XffzcKFC9m/fz8hISG0adOm0Pe52HSfqKgoOnXqVOjriYgUp/SsXB6ZvY09EQl27bUrejN/dBfqVvLN/8TcbPjpUQj92b7d5AaDvoRrBrmkXhERERGR0sRl4Yi/v7/tdWGmypwbAVKYKTjO7lOtWjXatWvntO+tt97KwoULAdi2bVuRwpGLrZsiInKlZOVYGPvdDv4+Hm/XXiPAi+9HdSGospNgJCcTfhwJB5fZt5s94J7Z0OJO1xQsIiIiIlLKuGxajbe3N1WqVAEuvpjp2bNnbeFIUdf2yNv/YgFG3r6xsbFFuo+ISGmUk2vhmR92seag/ee0Kn6efPdoF4Kr+uV/YlYazBviGIy4e8OQeQpGRERERKRccelWvi1btgTgyJEj5OTkOO134MAB2+sWLVoU6R6tWrWyvc7NzS2wb97jBW0tLCJSFlgsBi8vCuG3kGi79gBvd755pDONqzsZiZeZAt/fC0dX2bd7+MIDC6BJHxdVLCIiIiJSOrk0HOnWrRtgnTKzY8cOp/3Wrl1re33DDTcU6R7169enXr16AISFhRW40OrRo0dtr+vUqVOk+4iIlCaGYfCfpftYuMN+ZJ6vpxuzH+5Ey9oB+Z+YkQjf3g1h6+3bPf1h6CJo2NNFFYuIiIiIlF4uDUcGDBhgez1r1qx8+1gsFubOnQtAYGAgvXr1KvJ9Bg2yLhiYlJTEqlWrnPZbtGiR7fW54EZEpCz634qDzNl8wq7N093MzGEduK5epfxPSouHuf0h4m/7du+KMGwJ1O/qompFREREREo3l4YjnTp1onv37gB89dVXbN682aHPhx9+yP79+wF4+umn8fDwsDu+Zs0aTCYTJpOJESNG5HufZ555xrZrzXPPPUdSUpJDn2+//ZY1a9YAcMcddxR5bRMRkdJi2pojfLb6qF2bu9nE9Aev4/rGVfM/KSUW5vSDU7vs232rwPBfoW57F1UrIiIiIlL6uTQcAZgyZQo+Pj7k5ORwyy238O6777JlyxZWr17NmDFjePHFFwFo2rQp48ePv6R71KtXj//+978AhISE0KlTJ2bNmsWOHTtYvXo1Tz75pC1YCQgI4KOPPiqWZxMRKWlzN4fxwe8H7drMJvjovmu5uUWN/E9KioLZd8DpvfbtFWrAiGVQq/A7d4mIiIiIXI1cvippu3bt+OGHHxg6dChJSUm88sorDn2aNm3KsmXL7LblLaoXXniB+Ph43n//fQ4ePMjDDz/s0Kd69er8/PPPNGnS5JLvIyJypSzcEcnrS/Y5tL93dxv6ta2d/0kJETD3Log/Zt8eUAeG/QJVG7ugUhERERGRssXlI0cA+vXrxz///MOzzz5L06ZN8fX1JTAwkA4dOvD++++za9cuGje+/C/Q3333XTZu3MhDDz1EcHAwXl5eVKxYkY4dOzJx4kQOHTpE166aUy8iZc+KfdG8uHCPQ/vrd7bk3o5OpgnGH4dZfR2DkcB6MPI3BSMiIiIiIv8yGQVt7yKFFhkZaVvHJCIigrp1617hikTkavH3sTge+norWTkWu/bxfZry5M1ORsKdOQxz7oLkU/btlRvB8KVQUTt2iYiIiEjZ5Irvv10+rUZERC7dvlOJPDpnu0MwMrpHQ564ycnIj9Oh1l1pUmPs26s1t+5K41/TRdWKiIiIiJRNCkdEREqpE3GpDP96G8mZOXbt93aoy4Tbm2MymRxPOrUbvhkI6fH27TVbw0M/g5+T3WxERERERMoxhSMiIqVQTFIGD321lTMpmXbtt7SswTsDW+cfjERuh2/uhsxE+/ba18FDi8CnkgsrFhEREREpuxSOiIiUMonp2QyftY3w+DS79s4NKvPJkHa4u+WzlvaJTfDdPZCVYt9erys8sAC8A1xYsYiIiIhI2aZwRESkFMnIzmXUnO3sj0qya29ZK4Avh3fA28PN8aSjq2H+A5BtH6bQoAcMmQ+efi6sWERERESk7FM4IiJSSuTkWnji+11sDbNfL6R+FV/mPNyJAG8Px5MO/QE/PAS59tNvaNwH7vsGPHxcWLGIiIiIyNUhn7HZIiJS0gzDYMKiEFbuP23XXs3fi28e7kw1fy/Hk/YvhfkPOgYjze6A+79TMCIiIiIiUkgKR0RESoH3fj/Ajzsi7dr8vd2Z+3An6lXxdTwhZCEsGA6WbPv2VnfDvXPAPZ8wRURERERE8qVwRETkCvtqw3G+WHvMrs3L3cxXwzvSolY+C6nu+g5+ehSMXPv2tg/AoJngls/0GxERERERcUrhiIjIFbTsnyjeWhZq1+ZmNvHZA9fRqUFlxxO2zYQljwOGfXv7kdD/MzDns2CriIiIiIgUSOGIiMgVsvV4PM8u2I1xQc7x3t2t6d2yhuMJmz+DZeMd2zuPhTs/ArM+pYuIiIiIXArtViMicgUcPp3Mo3O2kZVjsWt/4dZm3NMhyPGEdf+DvyY6tnd7Fm5+A0wmF1UqIiIiInL1UzgiIlLCTidlMGLWNpIycuzaH+hcj8dvbGTf2TBg9Tuw7gPHC/X6P+jxgoIREREREZHLpHBERKQEJWdkM/zrrZxMSLdr792iOv+9qxWmvEGHYcCfr8GmTx0v1Oe/cMPTLq5WRERERKR8UDgiIlJCsnIsjP12Jweik+3arw0K5NMh1+HulmfNEIsFlr8I2750vNDtH0DnMS6uVkRERESk/FA4IiJSAgzD4OWf/mHDkTN27cFVfPlqeAd8PPPsMmPJhaVPw65vLriKCfp9DO1HuLpcEREREZFyReGIiEgJmPTHQRbtOmnXVsXPkzkPd6JKBa/zjbk58PNYCFlgfwGTGQZMh7b3l0C1IiIiIiLli8IREREX+2bLCaatOWrX5uPhxtcjOlK/it/5xpwsWPQohC6xv4DZHQbNhFYDS6BaEREREZHyR+GIiIgLrQw9zRtL9tq1uZlNfPZgO9oGBZ5vzM6AH0fAoeX2F3DzhHvmQPO+Lq9VRERERKS8UjgiIuIie08m8tT8XVgM+/a3BlzDTc1rnG/ISoP5D8Cx1fYd3b3h/u+gcW/XFysiIiIiUo4pHBERcYGoxHQembONtKxcu/anbmrMkE71zjdkJsP398OJDfYX8PCDB+ZDgx4lUK2IiIiISPmmcEREpJilZubwyOztnE7KtGu/u10dnu3T9HxDRiJ8Oxgit9pfwCsAHlwI9TqXQLUiIiIiIqJwRESkGOVaDJ6at4vQqCS79k4NKvPuoNaYTCZrQ1o8fDMQonbbX8A7EB5aDHWuK5F6RURERERE4YiISLGa+Gsoqw7E2LU1qOrHF0Pb4+XuZm1Iifn/9u47Oqoy/+P4ZyaTnpAQeg1gCAREN9J7Fdsqwq66Kouioit2EQurggVRUH6i66Iogh2sFAELvYMUQ+8tQOglpJe5vz+yTHJJDzOTTOb9Oofj3O99nnu/cJ54mA+3SJ/fKp3Yap4cVF0aNEOq3cotvQIAAADIQTgCAE7y2coDmrrygKkWHuSrT+9tq6rBfjmFxKPS5/2kU7vMk0NqS4NmSjWbu6dZAAAAAA6EIwDgBAt3HNcrs81Xgvj5WDXpn23UuHpwTuHcIemzW6Sz+82Tq9SX7pklVbvCTd0CAAAAyItwBAAu09aj5/Xo1/lf2Tv271epXeOInI0z+3KCkfPx5kFVG0mDZklVI93SKwAAAID8CEcA4DIcO5+m+6euy/fK3if7NNWtsfVyNk7ukj6/RbqQYJ5cLUq6Z7ZUpa6bugUAAABQEMIRACij5PQs3f/ZHzqWmGaq94+tpyd6N83ZOL415xkjySfNk2vE5DxjJLSWm7oFAAAAUBjCEQAoA7vd0NPf/qmtRy95ZW+jCL158ZW9RzfmvK439ax5cu2rpH/OkIKrua9hAAAAAIUiHAGAMvi/+bv069bjplrj6sH66J//e2Vv/Frpy79L6efNE+u1kQb+IAWGu69ZAAAAAEUiHAGAUpr55xG9v3CPqRYWmOeVvQeWS1/fIWUkmSc27CTd/a3kH+rGbgEAAAAUh3AEAEohLv6cnv1+k6nmY7Vo4t3X5Lyyd88CadrdUlaqeWKTHtI/vpb8gt3XLAAAAIASIRwBgBI6dj5NQz5fp/Qsu6k+6paW6hRVXdr5i/TtP6XsDPPEpn2l27+QfAPc2C0AAACAkrKWdwMA4AnSMrP14BfrdOJCuqn+zw6R+meHSGnbTGn63fmDkZibpTu+IhgBAAAAKjDCEQAohmEYGv79Jm06bH64aqcrqunlm1tIm76Vvhss2bPME6/8u/T3qZLNz33NAgAAACg1whEAKMYHi/ZodtxRUy2yWpD+e/c18o37UvrxQcnINk/6y0BpwCTJh7sXAQAAgIqOcAQAivDLlmN6+7ddplqov02T72mj8C2fSbMek2SYJ7W5X7rlfcnq475GAQAAAJQZ4QgAFGLr0fN6avqfpprVIr13V6yi9kyV5j6Tf1KHR6Sb3pGs/O8VAAAA8BRc7w0ABTh5IV1DPlun1Ezz7TIjboxRz2OfSYtezz+p6zNSrxcli8VNXQIAAABwBsIRALhERpZdQ79ar6Pn00z121vX0/3pX0rL38k/qeeLUvfhbuoQAAAAgDMRjgDAJV77eZv+OHDWVGsbGa43QqbJsnxi/gl9X5c6Peam7gAAAAA4G+EIAOTx7R/x+mL1QVOtfpi/Pq/9rWxrpuafcOPbUrsh7mkOAAAAgEsQjgDA/2w8dFYvzthiqgXapNmR0xUY9+0loy05b6S55p/uaxAAAACASxCOAICkExfS9K8v1ysj2+6o2ZSl3yKnq+quOebBFh+p/4fSVbe7uUsAAAAArkA4AsDrZWTZNfTLDTqemO6o+SpLs2tPVoMjS8yDrTbp759KLfq5uUsAAAAArkI4AsDrvfrzVq07mPsAVn9l6Juw/6r5ubXmgT5+0u2fS81ucHOHAAAAAFyJcASAV5v+xyF9ufqQYztQafo8aIKuSY8zD7QFSnd+LV3Ry80dAgAAAHA1whEAXmvDobN6acZWx3awUjXVf5za2neYB/qFSHdNlxp1cXOHAAAAANyBcASAVzpxIU0P53kAaxUl6zO/txRr2WMe6F9FGviD1KBdOXQJAAAAwB0IRwB4nUsfwFpVifrC701daT1gHhhYVfrnT1LdWPc3CQAAAMBtCEcAeJ3Xft7meABrdZ3Xl35vqLk13jwouIb0zxlS7Svd3yAAAAAAtyIcAeBVftxwWF+sPihJqqUz+tpvtK6wJpgHhdaRBs2SakSXQ4cAAAAA3I1wBIDX2HEsUSN+2ixJqm85qa98RyvSesI8KKyBdM8sKaJJOXQIAAAAoDwQjgDwColpmXr4yw1Ky7SrkSVBX/m9oXqW0+ZBVRvnBCPhDcunSQAAAADlgnAEQKVnGIaGfxen/aeSFWU5rK/83lAtyznzoOrR0qCZUpW65dIjAAAAgPJDOAKg0vt42T79uvW4YiwH9YXfGFW3JJoH1GwpDZohhdQsl/4AAAAAlC/CEQCV2up9p/XWLzvVyrJPX/iNUbgl2Tygzl9yXtcbFFEu/QEAAAAof4QjACqt44lpevTrjbra2Kmpfm+piiXVPKB+O+nu76TA8HLpDwAAAEDFQDgCoFLKzLbr0a83KCployb7jVOwJd08ILKzdNd0yT+0fBoEAAAAUGEQjgColN6at0OBhxZrku94BVgyzTub9JT+8bXkF1Q+zQEAAACoUAhHAFQedruUlaq5O87pwMrv9bHvBPlbssxjom+Qbpsq+QaUS4sAAAAAKh7CEQCe79hmadUH0raZUmaKehs2Xe+bLavFMI+LuUX622TJ5lc+fQIAAACokAhHAHi2zd9LPz0k2XOvEMl3tYgktbpdunWi5MP/9gAAAACY8S0BgOc6tjlfMFIQo9lNsvT/ULL6uKkxAAAAAJ7EWt4NAECZrfqg2GBEkiwBVQhGAAAAABSKcASAZ7Lbc54xUhLbZuaMBwAAAIACEI4A8ExZqVJmSsnGZqbkjAcAAACAAhCOAPBMtkDJN6hkY32DcsYDAAAAQAEIRwB4JqtVh2pfW7KxLW6VrPzvDgAAAEDB+LYAwCPtPZmkVw+2kGEUM9BqkzoOdUtPAAAAADwT4QgAj5OWma1HvtqgPvZVsliKGGi1Sf0/kmq3cltvAAAAADyPrbwbAIDSemX2VmUe36Hb/JaYd1htOa/29Q3KuZWm41CCEQAAAADFIhwB4FFm/nlE36yN1399v5OPJfeeGsM3SJbHNkgBVXIevsozRgAAAACUEOEIAI+x92SSRvy4WVdZ9upGn7WmfZYOQ6UqdcqpMwAAAACejH9aBeAR0jKz9ejXG5Wcka1nbdPMOwOrSp0fL5/GAAAAAHg8whEAHuHNeTu0PSFRXayb1cVnq3lnl6elgLDyaQwAAACAxyMcAVDhLdxxXFNXHpBF9vxXjYTWldoNKZ/GAAAAAFQKhCMAKrQTiWl65rtNkqQbrGt1lXW/eUCP5yXfwHLoDAAAAEBlQTgCoMKy2w09/W2cziRnyKYsPWP71jygWlPpL3eXT3MAAAAAKg3CEQAV1qRl+7R8zylJ0t99lqqJ9Zh5QO+XJB9eugUAAADg8hCOAKiQ4uLP6e1fd0qS/JWhJ20/mAfUjZVibimHzgAAAABUNoQjACqcpPQsPT5to7LshiTpXp9fVdty1jyozyjJYnF/cwAAAAAqHcIRABXOyzO26ODpFElSFSVpqG2meUCTHjm/AAAAAMAJCEcAVCgzNh7RjxuPOLYfsv2sMEuKeVDvkW7uCgAAAEBlRjgCoMI4eDpZL87Y4tiuobO6z+cX86AWt0r1rnFvYwAAAAAqNcIRABVCZrZdj0/7U0npWY7a47afFGjJyB1k8ZF6vVgO3QEAAACozAhHAFQI43/fpbj4c47tSMsx3WVbZB4UO1Cq3tS9jQEAAACo9AhHAJS71ftO68Mle021l4N/ko+ycwu2AKn7c27uDAAAAIA3IBwBUK4S0zI17Ns4GUZu7WqfA+qdtcw8sN2DUlg99zYHAAAAwCsQjgAoVyNnbtWRc6mm2vu1fjYP8g+Tujzlxq4AAAAAeBPCEQDl5udNR/VTntf2StJ99eLV8MxK88AuT0hBEW7sDAAAAIA3IRwBUC6OnU/Tv3/aYqqFBvjoed9vzQNDaknt/+XGzgAAAAB4G8IRAG5ntxt65rs4nU/NNNU/bndCfsfWmwd3f1byC3ZjdwAAAAC8DeEIALebsvKAlu85ZardclUttd//gXlg1cbSNfe4sTMAAAAA3ohwBIBb7Tx2QW/9ssNUqxMWoDev2CbLSXNdvV6UfHzd2B0AAAAAb0Q4AsBt0rOy9eT0P5WRZTfV3xnQXEErx5oH124ltRzgxu4AAAAAeCvCEQBuM/73XdqekGiq3d+lsTqdmSmdjzcP7j1KsvK/KAAAAACuxzcPAG6xet9pTVq6z1RrVitUw3vUkZa9bR4c2UWK6u3G7gAAAAB4M8IRAC6XmJapYd/GyTBya34+Vv3fHX9RwB8TpZTT5gl9RkoWi3ubBAAAAOC1CEcAuNzImVt15FyqqTasb7RaVEmXVv7HPLjZTVKDdm7sDgAAAIC3IxwB4FLzNifop41HTLUOTSL0QNcmObfTZCbn7rBYpd4vublDAAAAAN6OcASAy5xKSte/Z2wx1UIDbHrn9r/I5/wh6Y/J5glX3ynVjHFjhwAAAABAOALARQzD0Is/bdGZ5AxT/ZVbWqpeeKC0eIxkz8zd4eMn9XjezV0CAAAAAOEIABeZFXdUv2w9Zqr1bVFL/WPrSce3SXHTzBPaPiCFN3RjhwAAAACQg3AEgNMdT0zTyzO3mmpVg3w1un8rWSwWacGrkvK+uiZE6jrMvU0CAAAAwP8QjgBwKsMw9MKPm3U+NdNUf/3WVqoR6i8dWi3tmmee1OkxKbi6G7sEAAAAgFyEIwCc6rv1h7VwxwlT7ear6+qmq+pIhiHNH2WeEFRd6viI+xoEAAAAgEsQjgBwmiPnUvXq7G2mWo1Qf716S8ucjd2/S4dWmSd1Gy75h7qpQwAAAADIj3AEgFMYhqHnvt+kpPQsU31M/1aqGuwn2e3SglfMk8IaSm0Gu7FLAAAAAMiPcASAU3y55pCW7zllqv3tmvrq06JWzsaWH6TjW8yTeo6QbP5u6hAAAAAACkY4AuCyHTqdojFzt5tqtasE6OWbW+RsZGVIi143T6oRI111u5s6BAAAAIDCEY4AuCx2u6Fnvo9TSka2qf7W369SWKBvzsaGz6SzB8wTe78sWX3c0yQAAAAAFIFwBMBlmbLygNbuP2Oq3dW+obpH18jZSE+Slow1T2rQXmp2g5s6BAAAAICiEY4AKLN9J5M09pcdplr9qoEacWNMbmHNRCnZ/Gpf9RklWSyubxAAAAAASoBwBECZ2O2Gnvthk9Kz7Kb6uL9frRB/W85GyhlpxXvmiU37SpGd3NQlAAAAABSPcARAmXyx+qD+OHDWVLu3UyN1vKJabmH5eCk90Tyx98tu6A4AAAAASs5t4cjBgwc1bNgwNW/eXMHBwYqIiFDbtm01btw4paSkuOScKSkpatKkiSwWiywWixo1auSS8wDeJv5Mit665HaahhFBevb6ZrmF84elNZPME1vdJtVu5YYOAQAAAKDkbO44yezZszVw4EAlJub+C3JKSorWrVundevW6ZNPPtGcOXMUFRXl1PO+/PLL2r9/v1OPCXg7wzD0wo+b872d5s0BrRTkl+d/KYvflLLTc7etNqnnCDd1CQAAAAAl5/IrRzZu3Kg77rhDiYmJCgkJ0ejRo7Vy5UotWLBAQ4YMkSTt2rVLN910ky5cuODU87777rsKCAhQaGio044LeLtv18Vr+Z5Tptqd7RqqU1T13MLJXdKfX5kntr5Ximji+gYBAAAAoJRcHo488cQTSk1Nlc1m02+//aYRI0aoY8eO6tWrlyZNmqSxY3Ne8blr1y698847Tjlndna2hgwZouzsbI0YMUIRERFOOS7g7Y6dT9Prc7abanXCAvTCjc3NAxe+Jhl5HtTqGyR1e9YNHQIAAABA6bk0HFm7dq2WLVsmSbr//vvVsWPHfGOGDRummJic135OmDBBmZmZl33eCRMmaP369WrWrJmee+65yz4egJzbaV6csVkX0rJM9Tf6t1KVAN/cwpH10vZZ5skdhkqhtdzQJQAAAACUnkvDkRkzZjg+Dx48uOAGrFYNGjRIknTu3DktWrToss558OBBvfxyztswPvzwQ/n5+V3W8QDkmBV3VPO3nzDVBsTWU8/mNc0D579i3g6sKnV+3MXdAQAAAEDZuTQcWb58uSQpODhYrVu3LnRc9+7dHZ9XrFhxWeccOnSokpOT9c9//lM9evS4rGMByHEqKV2jZm011aqH+Ovlm1uYB+5dKO1fYq51eVoKCHNxhwAAAABQdi4NR7Zvz3k2QVRUlGy2wl+M07x57vMKLs4pi2nTpmnu3LmqWrWq055fAkAaNWurzqaYb3l7rV9LhQfluTLLbs9/1UhoXandEDd0CAAAAABl57JX+aalpenUqZw3WtSvX7/IsVWrVlVwcLCSk5MVHx9fpvOdPXtWTz75pCTpzTffVI0aNcp0nMIcPny4yP0JCQlOPR9QUfy69Zh+3mRe3ze2qq0bWtUxD9w+U0r401zr8bzkG+jaBgEAAADgMrksHMn7Wt6QkJBix18MR5KSksp0vuHDh+v48ePq2LGj4xXBztSgQQOnHxOo6M6nZOrFGVtMtfAgX71yy5XmgdmZ0oLXzLVqTaW/3O3iDgEAAADg8rnstpq0tDTH55I8FNXf31+SlJqaWupzLV26VJ9++qlsNps+/PBDWSyWUh8DQH6vzdmmkxfSTbWRN7dQjVB/88A/v5LO7DXXer8k+bgsfwUAAAAAp3HZN5eAgADH54yMjGLHp6fnfAELDCzdJfjp6el68MEHZRiGnnjiCV111VWla7SEirvdJyEhQe3atXPJuYHysHTXSX2/3nw7Wc9mNXTrX+qZB2amSovfNNfqxkoxt7i4QwAAAABwDpeFI6GhoY7PJblVJjk5WVLJbsHJa/To0dq5c6caNGigV155pfgJZVTcc1OAyiQ1I1v/nrHZVAv1t+mNAa3yX5m15iPpwiXP3OkzSuIKLgAAAAAewqVXjlSrVk2nT58u9mGmZ8+edYQjpX22x1tvvSVJ6tOnj2bPnl3gmIvHTk5O1rRp0yRJNWvWVK9evUp1LsBbvLtgl+LPmG9xe+HGGNUJu+TKrtSz0vLx5lqTHjm/AAAAAMBDuPSBAC1atNCyZcu0Z88eZWVlFfo63x07djg+x8TElOocF2/ZmTJliqZMmVLk2FOnTunOO++UJHXv3p1wBCjA1qPn9cmy/aZau0YR+kfbAoLLFe9JaefNtd4jXdgdAAAAADifyx7IKkldunSRlHPFxvr16wsdt2TJEsfnzp07u7IlAEXItht64cfNyrYbjpqfj1VvDLhSVuslt8lcOCatnmiutbhVqneN6xsFAAAAACdyaThy6623Oj4XdlWH3W7X559/LkkKDw9Xz549S3UOwzCK/RUZGSlJioyMdNQWL15cpt8TUJl9tvKANh02XwkytOcViqoZmn/wkrFSVp5bbyw+Uq8XXdwhAAAAADifS8ORdu3aqWvXrpKkyZMna9WqVfnGvPPOO9q+fbsk6YknnpCvr69p/+LFi2WxWGSxWHTvvfe6sl3Aqx05l6q3f9tpql1RI1gP97gi/+DTe6UNn5lrsQOl6k1d2CEAAAAAuIZLnzkiSRMmTFDnzp2Vmpqqvn37asSIEerZs6dSU1M1bdo0TZo0SZIUHR2tYcOGubodAAUwDEMvzdiilIxsU33MgKvkb/PJP2HRaMmelbttC5C6P+fiLgEAAADANVwejsTGxmr69OkaOHCgEhMTNWLEiHxjoqOjNWfOHNPrfwG4z9zNx7RwxwlT7c52DdWucUT+wQlx0pYfzLV2D0ph9VzYIQAAAAC4jktvq7no5ptv1qZNm/TUU08pOjpaQUFBCg8PV5s2bfTWW29p48aNioqKckcrAC5xPiVTI2dtNdVqhPrr+RuaFzxhwavmbf8wqctTLuoOAAAAAFzP5VeOXBQZGanx48dr/PjxpZrXo0cPGYZR/MAiHDhw4LLmA5XZm7/s0KmkdFNt5M0tFBbom3/w/mXSnvnmWpcnpKACrjABAAAAAA/hlitHAFRMfxw4o2/WHjLVejWvqZta1ck/2DCkBa+YayG1pPb/cmGHAAAAAOB6hCOAl0rPytYLP2421YL8fPRqv5ayWCz5J+ycKx3+w1zr/qzkF+zCLgEAAADA9QhHAC/14eJ92nMiyVQb1reZ6lcNyj/Ynp3/WSNVG0vX3OPCDgEAAADAPQhHAC+050SSPli0x1S7qn6Y7u3UqOAJcdOkkzvMtV4vSj4FPJcEAAAAADwM4QjgZQzD0IszNisj2+6o+VgteqN/K/lYC7idJjNNWjzGXKvdSmo5wMWdAgAAAIB7EI4AXmbmn0e1et8ZU+2BLo11Zb2wgies+1Q6H2+u9R4lWfnfBwAAAIDKgW83gBc5n5qp1+dsM9XqhQfqiT5NC56Qligte9tci+wiRfV2UYcAAAAA4H6EI4AXeee3nTqVlGGqjby5hYL8bAVPWPWBlHLaXOszUirobTYAAAAA4KEIRwAvsenwOX2x+qCp1iempvq2rF3whKST0qr/mGvNbpIatHNRhwAAAABQPghHAC+QbTf075+2yDByawG+Vo28uWXhk5a9LWXkedWvxSr1fsl1TQIAAABAOSEcAbzA12sOavOR86baY72aqkFEUMETzh6U/phsrl19p1QzxkUdAgAAAED5IRwBKrkTF9I09tedptoVNYI1pGuTwictHiPZM3O3ffykHs+7qEMAAAAAKF+EI0AlN2buDl1IyzLVXrv1SvnZCvnxP75NiptmrrV9QApv6KIOAQAAAKB8EY4AldjKvaf008Yjplr/2HrqdEX1wictfE1SnoeT+IVIXYe5pkEAAAAAqAAIR4BKKiPLrpdmbDHVQgNsGnFjEc8NObRa2jnXXOv0mBRcRJgCAAAAAB6OcASopD5etk97Tyabas9e10w1Qv0LnmAY0vxR5lpQdanjI65pEAAAAAAqCMIRoBKKP5Oi9xfuNtWuqh+mu9pHFj5p9+/SoVXmWrfhkn+oCzoEAAAAgIqDcASohF6ZvVVpmXbHtsUivX7rlfKxWgqeYLdLC14x18IaSm0Gu7BLAAAAAKgYCEeASua3rcc0f/sJU+2fHSJ1Vf3wwidt+UE6bn4+iXqOkGyF3IIDAAAAAJUI4QhQiaRlZuvVn7eZatVD/DWsb7PCJ2VlSIteN9dqxEhX3e6CDgEAAACg4iEcASqRD5fs1eGzqabaizfFKCzQt/BJGz6Tzh4w13q/LFl9nN8gAAAAAFRAhCNAJRF/JkUTF+811do1jlC/v9QtfFJ6krRkrLnWoL3U7AYXdAgAAAAAFRPhCFBJvD5nm9Kzch/CarVIr9zSUhZLIQ9hlaQ1E6Vk8/NJ1GdUzhNcAQAAAMBLEI4AlcDSXSf169bjpto/O0Qqpk6VwielnJFWvGeuNe0rRXZyQYcAAAAAUHERjgAeLiPLrlGzt5pqEcF+evraIh7CKknLx0vpieZa75ed3B0AAAAAVHyEI4CHm7pyv/adTDbVnr2umcKCingI6/kj0ppJ5lqr26TarVzQIQAAAABUbIQjgAc7kZimCfN3m2pX1w/T7W0aFD1x8RgpOz1322qTeo5wQYcAAAAAUPERjgAebMy8HUrOyDbVRt3SUlZrEQ9UPblL+vMrc631YCmiiQs6BAAAAICKj3AE8FDrDpzRTxuPmGq3ta6v2IZVi5648DXJyH2rjXyDpG7DXdAhAAAAAHgGwhHAA2XbDb080/wQ1tAAm569vnnRE4+sl7bPMtc6DJVCazm5QwAAAADwHIQjgAf6eu0hbUswv2nmqT7RqhHqX/TE+a+YtwOrSp0fd3J3AAAAAOBZCEcAD3M2OUPv/LbTVGtWK1SDOkYWPXHvQmn/EnOty9NSQJiTOwQAAAAAz0I4AniYcb/t1LmUTFNt1C0tZfMp4sfZbs9/1UiVelK7IS7oEAAAAAA8C+EI4EG2HDmvb9YeMtVuuqqOOl5RreiJ22dKCX+aaz2el3wDndsgAAAAAHggwhHAQxiGoVGztsowcmuBvj76940xRU/MzpQWvGauVWsqXX2X85sEAAAAAA9EOAJ4iJ83JWjdwbOm2qO9olQ3vJirP/78Sjqz11zr/ZLkY3NyhwAAAADgmQhHAA+QlpmtN+ftMNUaRgTp/i6Ni56YmSotftNcqxsrxdzi5A4BAAAAwHMRjgAe4OOl+3TkXKqpNuLGGAX4+hQ9cc1H0oUEc63PKMlicW6DAAAAAODBCEeACu54Ypr+u9h8W0yHJhG6rmWtoiemnpWWjzfXmvTI+QUAAAAAcCAcASq4t37ZodTMbMe2xSK9/NeWshR39ceK96S08+Za75Eu6BAAAAAAPBvhCFCBxcWf048bjphq/2jbQC3qVil64oVj0uqJ5lqLW6V61zi3QQAAAACoBAhHgArKMAy9+vM2Uy3E36anr21W/OQlY6WsPM8osfhIvV50cocAAAAAUDkQjgAV1OxNCVp/yat7H+sVpRqh/kVPPL1X2vCZuRY7UKre1MkdAgAAAEDlQDgCVEBpmdl6c+52U61hRJDu7dyo+MmLRkv2rNxtW4DU/TnnNggAAAAAlQjhCFABTVq6T0fPp5lqI26Mkb+tmFf3JsRJW34w19o9KIXVc3KHAAAAAFB5EI4AFcyx82maeMmrezs2qVb8q3slacGr5m3/MKnLU07sDgAAAAAqH8IRoIIZ+6v51b1Wi/TSX1sU/+re/cukPfPNtS5PSEERLugSAAAAACoPwhGgAvmzgFf33tG2YfGv7jUMacEr5lpILan9v5zcIQAAAABUPoQjQAVhGIZenb3VVAvxt2lY3+jiJ++cKx3+w1zr/qzkF+zEDgEAAACgciIcASqIWXFHteHQOVPtsV5Rqh5SzKt77dn5nzVStbF0zT3ObRAAAAAAKinCEaACSMvM1thfdppqkdVK+OreuGnSyR3mWq8XJR9f5zUIAAAAAJUY4QhQAUxZcUBHzqWaaiV6dW9mmrR4jLlWu5XUcoCTOwQAAACAyotwBChnZ5Iz9N9Fe0y19o0j1LdFCV7du+5T6Xy8udZ7lGTlRxsAAAAASopvUEA5e2/Bbl1IzzLVXrypBK/uTUuUlr1trkV2kaJ6O7lDAAAAAKjcCEeAcrT/VLK+XH3QVLv1L3XVqn5Y8ZNXfSClnDbX+oyUigtVAAAAAAAmhCNAOXpr3g5l2Q3Htp/Nqmeua1b8xKST0qr/mGvNbpIatHNyhwAAAABQ+RGOAOXkjwNn9MvWY6ba4M6NVL9qUPGTl70tZSTlblusUu+XnNwhAAAAAHgHwhGgHBiGodFztptqVYN8NbRHVPGTzx6U/phsrl19p1QzxokdAgAAAID3IBwBysGczQn6M/6cqfZ476YKC/QtfvLiMZI9M3fbx0/q8bxzGwQAAAAAL0I4ArhZela2xv6y01RrVC1Id7ePLH7y8W1S3DRzre0DUnhDJ3YIAAAAAN6FcARwsy9WHdShMymm2nPXN5efrQQ/jgtfk5T7AFf5hUhdhzm3QQAAAADwMoQjgBudT8nU+wv3mGqtI6vq+itrFz/50Gpp51xzrdNjUnB1J3YIAAAAAN6HcARwo/8s2q3zqZmm2ogbY2SxWIqeaBjS/FHmWlB1qeMjzm0QAAAAALwQ4QjgJvFnUvTZyoOm2k2t6qh1ZNXiJ+/+XTq0ylzrNlzyD3VihwAAAADgnQhHADcZ++tOZWTbHdu+PhY9e32z4ifa7dKCV8y1sIZSm8FO7hAAAAAAvBPhCOAGf8af0+y4o6baPzs0UmS14OInb/lBOr7FXOs5QrL5O7FDAAAAAPBehCOAixmGoTfmbDfVQgNseqxXVPGTszKkRa+bazVipKtud2KHAAAAAODdCEcAF1u444TWHjhjqj3WK0pVg/2Kn7zhM+nsAXOt98uS1cd5DQIAAACAlyMcAVwo225o7C87TbV64YEa1LFR8ZPTk6QlY821Bu2lZjc4r0EAAAAAAOEI4Eoz/zyinccvmGrD+kYrwLcEV36smSglnzDX+oySinvtLwAAAACgVAhHABdJz8rWO7/tMtWa1w5Vv7/UK35yyhlpxXvmWtO+UmQnJ3YIAAAAAJAIRwCX+Wr1IR05l2qqPXt9M/lYS3Dlx/LxUnqiudb7ZSd2BwAAAAC4iHAEcIELaZn6z6I9plrbRlXVs1nN4iefPyKtmWSutbpNqt3KiR0CAAAAAC4iHAFc4JNl+3UmOcNUe/6G5rKU5Hkhi8dI2em521ab1HOEkzsEAAAAAFxEOAI42amkdH2ybJ+p1iemllpHRhQ/+eQu6c+vzLXWg6WIJk7sEAAAAACQF+EI4GT/WbhHyRnZjm2rJedZIyWy8DXJsOdu+wZJ3YY7uUMAAAAAQF6EI4ATHTqdoq/WHDTVBlxTX9G1QouffGS9tH2WudZhqBRay4kdAgAAAAAuRTgCONH433cqM9twbPv5WPXUtdElmzz/FfN2YFWp8+NO7A4AAAAAUBDCEcBJth1N1My4o6baPztGql54YPGT9y6S9i8x17o8LQWEObFDAAAAAEBBCEcAJxn36w4ZuReNKNTfpkd6RhU/0W6X5o8y16rUk9oNcWp/AAAAAICCEY4ATrBm32kt2nnSVHuwWxNFBPsVP3n7TCnhT3Otx/OSbwmuOAEAAAAAXDbCEeAyGYahN3/ZYapVD/HX/V0bFz85O1Na8Jq5Vq2pdPVdTuwQAAAAAFAUwhHgMv227bg2Hjpnqj3RO0pBfrbiJ//5lXRmr7nW+yXJpwRzAQAAAABOQTgCXIZsu6Fxv+401SKrBekf7RoWPzkzVVr8prlWN1aKucWJHQIAAAAAikM4AlyGGRuPaM+JJFNtWN9m8vUpwY/W2knShQRzrc8oyWJxXoMAAAAAgGIRjgBllJlt17sLdplqLepU0V9b1Sl+cuo5adl4c61Jj5xfAAAAAAC3IhwByui7dYcVfybVVBt+XTNZrSW48mPFBCntnLnWe6TzmgMAAAAAlBjhCFAGaZnZen/hblPtmobh6tGsRvGTLxyTVk8011rcKtW7xnkNAgAAAABKjHAEKIOv1xxSwvk0U+2Zvs1kKcnzQpaMlbLyXHFi8ZF6vejkDgEAAAAAJUU4ApRSSkaW/rt4j6nW6Ypq6hRVvfjJp/dKGz4z12IHStWbOrFDAAAAAEBpEI4ApTR15QGdSsow1Yb1jS7Z5EVvSPas3G1bgNTjeSd2BwAAAAAoLcIRoBQS0zL10ZJ9plrPZjXUOjKi+MkJcdKW78219g9JVeo6sUMAAAAAQGkRjgCl8Mmy/TqfmmmqDevbrGSTF7xq3vYPkzo/6ZzGAAAAAABlRjgClNCZ5Ax9uny/qXbDlbV1Zb2w4ifvXybtmW+udXlCCirBFScAAAAAAJciHAFK6KOle5WUnvu8EItFeuraEjxrxDCkBa+YayG1pPb/cnKHAAAAAICyIBwBSuBEYpo+W3nAVOt3dV1F1wotfvLOudLhP8y17s9KfsHOaxAAAAAAUGaEI0AJ/HfxXqVl2h3bPlaLnuxTgqtG7Nn5nzVStbF0zT1O7hAAAAAAUFaEI0AxjpxL1ddrDplqt7Wur0bVS3DlR9w06eQOc63Xi5KPrxM7BAAAAABcDsIRoBjvL9itjOzcq0b8fKx6rHfT4idmpkmLx5hrtVtJLQc4uUMAAAAAwOUgHAGKcOBUsr5bf9hUu6t9Q9ULDyx+8rpPpfPx5lrvUZKVHzsAAAAAqEj4lgYUYcKC3cq2G47tAF+rhva4oviJaYnSsrfNtcguUlRvJ3cIAAAAALhchCNAIXYfv6AZfx4x1e7p2Eg1qwQUP3nVB1LKaXOtz8ic9/8CAAAAACoUwhGgEO8t3CMj96IRhfjb9K/uJbhqJOmktOo/5lqzm6QG7ZzbIAAAAADAKQhHgALsPn5BP286aqoN7txIVYP9ip+87G0pIyl322KVer/k5A4BAAAAAM5COAIU4NKrRkL9bbq/S+PiJ549KP0x2Vy7+k6pZoxzGwQAAAAAOA3hCHCJwq4aCQ8qwVUji8dI9szcbR8/qcfzTu4QAAAAAOBMhCPAJQq6auS+klw1cnybFDfNXGv7gBTe0LkNAgAAAACcinAEyKOgq0buLelVIwtfk5QnVfELkboOc26DAAAAAACnIxwB8ni/gDfUlOhZI4dWSzvnmmudHpOCqzu3QQAAAACA0xGOAP+z58QFzS7Ls0YMQ5o/ylwLqi51fMS5DQIAAAAAXIJwBPif9xaU8aqR3b9Lh1aZa92GS/6hzm0QAAAAAOAShCOALuOqEbtdWvCKuRbWUGoz2MkdAgAAAABchXAE0GVcNbLlB+n4FnOt5wjJ5u/cBgEAAAAALkM4Aq9X5qtGsjKkRa+bazVipKtud3KHAAAAAABXIhyB1yvzVSMbPpPOHjDXer8sWX2c2h8AAAAAwLUIR+DVynzVSHqStGSsudagvdTsBid3CAAAAABwNcIReLUyXzWyZqKUfMJc6zNKslic2h8AAAAAwPXcFo4cPHhQw4YNU/PmzRUcHKyIiAi1bdtW48aNU0pKymUdOyUlRT/++KMefvhhtW3bVlWrVpWvr6+qVaumjh07atSoUTp27JiTfieoLAq6auTeTiW4aiTljLTiPXOtaV8pspOTOwQAAAAAuIPFMPL+u7lrzJ49WwMHDlRiYmKB+6OjozVnzhxFRUWV+tibNm1S586dlZSUVOS4KlWqaNKkSbrjjjtKfY6SOHz4sBo0aCBJio+PV/369V1yHjjP499s1Ky43HAkxN+mZc/2VNXgYsKR316UVr5vrv1ruVS7lQu6BAAAAADk5Yrv3y6/cmTjxo264447lJiYqJCQEI0ePVorV67UggULNGTIEEnSrl27dNNNN+nChQulPn5iYqIjGOncubPGjBmj33//XRs2bNCvv/6qhx56SFarVYmJibr77rs1b948p/7+4Jn2nEgq8KqRYoOR80ekNZPMtVa3EYwAAAAAgAezufoETzzxhFJTU2Wz2fTbb7+pY8eOjn29evVS06ZN9eyzz2rXrl165513NGrUqFId32q16vbbb9fIkSPVokWLfPv79u2rG264Qf3791d2drYee+wx7d69WxaeDeHV/ruojM8aWTxGyk7P3bbapJ4jnN8gAAAAAMBtXHrlyNq1a7Vs2TJJ0v33328KRi4aNmyYYmJiJEkTJkxQZmZmqc7RqVMnTZ8+vcBg5KJ+/fppwIABkqS9e/dq48aNpToHKpdDp1M0M8581cg9nSKLv2rk5C7pz6/MtdaDpYgmTu4QAAAAAOBOLg1HZsyY4fg8ePDgghuwWjVo0CBJ0rlz57Ro0SKX9NKzZ0/H571797rkHPAME5fsVbY997KRQF8f3d+lBAHHwtckw5677RskdRvugg4BAAAAAO7k0nBk+fLlkqTg4GC1bt260HHdu3d3fF6xYoVLeklPz70VwsfHxyXnQMWXcD5V36+PN9Xubt9QEcVdNXJkvbR9lrnWYagUWsvJHQIAAAAA3M2l4cj27dslSVFRUbLZCn+8SfPmzfPNcbYlS5Y4Pl+8jQfe56Ml+5SZnXvViJ/NqiHdSnDVyPxXzNuBVaXOjzu5OwAAAABAeXDZA1nT0tJ06tQpSSr2tTpVq1ZVcHCwkpOTFR8fX+TYsoiLi9OcOXMkSa1atSpTOHL48OEi9yckJJSpN7jPyQvpmvbHIVPt9jb1VatKQNET9y6S9i8x17o8LQWEOblDAAAAAEB5cFk4kve1vCEhIcWOvxiOXHwtr7Okp6frgQceUHZ2tiRp9OjRZTrOxXcow3NNXr5faZm5zwyxWS16qNsVRU+y26X5o8y1KvWkdkOc3yAAAAAAoFy47LaatLQ0x2c/v2Ke5yDJ399fkpSamurUPh599FGtW7dOknTPPffo5ptvdurx4RnOpWToi1UHTLX+sfXUICKo6InbZ0oJf5prPZ6XfAOd2h8AAAAAoPy47MqRgIDcWxUyMjKKHX/xgamBgc770jlmzBh98sknkqS2bdvqgw8+KPOxirvdJyEhQe3atSvz8eFaU1ceUHJGtmPbapEe7lHMVSPZmdKC18y1ak2lq+9yQYcAAAAAgPLisnAkNDTU8bkkt8okJydLKtktOCXx0UcfacSIEZJyHvg6d+5cBQcHl/l4xT03BRXXhbRMTVlxwFS76aq6alKjmLX251fSmUte+9z7JcnHZT82AAAAAIBy4LLbagICAlStWjVJxT/M9OzZs45wxBnP9vjmm280dOhQSVJkZKR+//13Va9e/bKPC8/05epDOp+aaao90rOYq0YyU6XFb5prdWOlmFuc3B0AAAAAoLy59FW+LVq0kCTt2bNHWVlZhY7bsWOH4/PlvmZ31qxZGjRokOx2u+rUqaMFCxZw1YcXS83I1uTl+0y1vi1qqXntKkVPXDtJunDJG4j6jJIsFuc2CAAAAAAody4NR7p06SIp55aZ9evXFzpuyZLc16R27ty5zOdbsGCBbr/9dmVlZalatWr6/fffdcUVxVwhgEpt2h+HdCrJ/MybR3tFFT0p9Zy0bLy51qSn1KSHU3sDAAAAAFQMLg1Hbr31VsfnKVOmFDjGbrfr888/lySFh4erZ8+eZTrXypUr1a9fP6WnpyssLEy//vqrWrZsWaZjoXJIz8rWR0vMV410i66hq+qHFz1xxQQp7Zy51vtlp/YGAAAAAKg4XBqOtGvXTl27dpUkTZ48WatWrco35p133tH27dslSU888YR8fX1N+xcvXiyLxSKLxaJ77723wPP8+eefuummm5ScnKzg4GDNmTNHrVu3du5vBh7nxw1HdCwxzVR7rLirRi4ck1ZPNNda3CrVu8a5zQEAAAAAKgyXv3ZjwoQJ6ty5s1JTU9W3b1+NGDFCPXv2VGpqqqZNm6ZJkyZJkqKjozVs2LBSH3/v3r267rrrdO7cOUnS66+/rrCwMG3ZsqXQOTVr1lTNmjXL9PuBZ8jKtuu/i/eYau0aR6hto4iiJy4ZK2Wl5m5bfKReL7qgQwAAAABAReHycCQ2NlbTp0/XwIEDlZiY6Hi9bl7R0dGaM2eO6fW/JbVs2TKdOHHCsf3UU08VO2fkyJEaNWpUqc8FzzEr7qjiz6SaasVeNXJ6r7ThM3MtdqBUvamTuwMAAAAAVCQuva3moptvvlmbNm3SU089pejoaAUFBSk8PFxt2rTRW2+9pY0bNyoqqpgvrkAJ2e2GPlhkvmrk6gbh6hJVzOucF70h2fO8VckWIPV43gUdAgAAAAAqEothGEZ5N1EZHD58WA0aNJAkxcfH8/rgcjR3c4KGfrXBVPt4UBtd26JW4ZMS4qSPuplrnZ+Qrn3VBR0CAAAAAMrKFd+/3XLlCOAuhmFo4uK9plrz2qHq3byYZ8wsuCQE8Q+TOj/p3OYAAAAAABUS4QgqlZV7T2vzkfOm2tCeUbJaLYVP2r9M2jPfXOvyhBRUzMNbAQAAAACVAuEIKpVLrxppGBGkG6+sXfgEw5AWvGKuhdSS2v/LBd0BAAAAACoiwhFUGpsPn9fyPadMtQe7NZHNp4hlvnOudPgPc637s5JfsAs6BAAAAABURIQjqDQ+XGK+aqR6iL/+3rqIB/PYs/M/a6RqY+mae1zQHQAAAACgoiIcQaWw/1Sy5m5JMNUGd26kAF+fwifFTZNO7jDXer0o+fi6oEMAAAAAQEVFOIJKYdLSfcr7UuoQf5sGdogsfEJmmrR4jLlWu5XUcoBrGgQAAAAAVFiEI/B4JxLT9MP6w6ba3e0bKiywiCtA1n0qnY8313qPkqz8SAAAAACAt+GbIDze5BX7lZFtd2z7+Vh1X5fGhU9IS5SWvW2uRXaRonq7qEMAAAAAQEVGOAKPlpiWqa9XHzLV/ta6nmpVCSh80qoPpJTT5lqfkZLF4oIOAQAAAAAVHeEIPNqXqw/qQnqWY9tikYZ0bVL4hKST0qr/mGvNbpIatHNRhwAAAACAio5wBB4rLTNbny4/YKrdcGVtNakRUvikZW9LGUm52xar1Psl1zQIAAAAAPAIhCPwWD9sOKxTSemm2r+6X1H4hLMHpT8mm2tX3ynVjHFBdwAAAAAAT0E4Ao+UbTc0aek+U61zVDVdVT+88EmLx0j2zNxtHz+px/OuaRAAAAAA4DEIR+CR5m1J0MHTKabaw92jCp9wfJsUN81ca/uAFN7QBd0BAAAAADwJ4Qg8jmEYmrh4r6l2Zb0q6hxVrfBJC1+TZORu+4VKXYe5pkEAAAAAgEchHIHHWbb7lLYeTTTVHu4eJUthr+I9tEbaOddc6/SYFFzdRR0CAAAAADwJ4Qg8zodLzFeNNKoWpOuvrF3wYMOQ5o8y14KqSx2HuqY5AAAAAIDHIRyBR4mLP6eVe0+bag92u0I+1kKuGtn9u3RopbnWbbjkH+qiDgEAAAAAnoZwBB7l0jfU1Aj114Br6hU82G6XFrxiroU1lNoMdlF3AAAAAABPRDgCj3HodIrmbUkw1e7r3FgBvj4FT9jyg3R8i7nWc4Rk83dRhwAAAAAAT0Q4Ao/x6Yr9sud54Uywn4/ual/Iq3izMqRFr5trNVtIV93uugYBAAAAAB6JcAQe4VxKhr5dF2+q/aNdQ4UF+hY8YcNn0tkD5lrvlyVrIVeZAAAAAAC8FuEIPMJXaw4pJSPbse1jtWhw50YFD05PkpaMNdcatJeir3ddgwAAAAAAj0U4ggovPStbn608YKrd2KqO6lcNKnjCmolS8glzrc8oyVLIG20AAAAAAF6NcAQV3qw/j+rEhXRTbUjXxgUPTjkjrXjPXGvaV4rs5KLuAAAAAACejnAEFZphGPpk2X5TrX3jCF1VP7zgCcvHS+mJ5lrvl13THAAAAACgUiAcQYW2dPcp7Tx+wVR7sFuTggefPyKtmWSutbpNqt3KRd0BAAAAACoDwhFUaB8v3WfavqJGsHo2q1nw4CVvStl5br+x2qSe/3ZhdwAAAACAyoBwBBXWtqOJWr7nlKk2pGsTWa0FPFj15C5p45fmWuvBUkQhzyYBAAAAAOB/CEdQYX2yzHzVSPUQP90aW6/gwQtfkwx77rZvkNRtuAu7AwAAAABUFoQjqJASzqdqVtxRU21Qx0YK8PXJP/jIemn7LHOtw1AptJYLOwQAAAAAVBaEI6iQpq48oCy74dgO8LVqYIfIggfPf8W8HVhV6vy4C7sDAAAAAFQmhCOocJLSs/T1mkOm2t9b11dEsF/+wXsXSfuXmGtdnpYCwlzYIQAAAACgMiEcQYUz/Y94XUjLcmxbLNL9XQp4fa/dLs0fZa5VqSe1G+LaBgEAAAAAlQrhCCqUrGy7Pl2+31Tr26KWGlcPzj94+0wp4U9zrcfzkm+g6xoEAAAAAFQ6hCOoUOZuOaYj51JNtSFdC7hqJDtTWvCauVatqXT1XS7sDgAAAABQGRGOoMIwDEMfLzW/vje2YbhaR1bNP/jPr6Qze8213i9JPjYXdggAAAAAqIwIR1BhrNl/RpuPnDfVHuzaRBaLxTwwM1Va/Ka5VjdWirnFxR0CAAAAACojwhFUGJ8sMz9rpGFEkPq2rJ1/4NpJ0oUEc63PqJwntwIAAAAAUEqEI6gQDpxK1oIdx021+zo3ko/1ksAj9Zy0bLy51qSn1KSHS/sDAAAAAFRehCOoEKauPCDDyN0ODbDptjYN8g9cMUFKO2eu9X7Zpb0BAAAAACo3whGUu8S0TH23Lt5Uu7NdQwX7X/Jw1QvHpNUTzbUWt0r1rnFtgwAAAACASo1wBOXuu3WHlZyR7di2WqRBHSPzD1wyVsrK85pfi4/U60U3dAgAAAAAqMwIR1Cusu2Gpq40P4j1+itrq37VIPPA03ulDZ+Za7EDpepNXdwhAAAAAKCyIxxBuZq//bjiz6Saavd1bpx/4KI3JHtW7rYtQOrxvIu7AwAAAAB4A8IRlKtPl5uvGmlVL0ytI6uaByXESVu+N9faPyRVqevi7gAAAAAA3oBwBOVmy5HzWrP/jKl2X5dGslgueX3vglfN2/5hUucnXdscAAAAAMBrEI6g3ExZccC0XSPUXze1uuRqkP3LpD3zzbUuT0hBEa5tDgAAAADgNQhHUC5OXkjX7LijptqgDpHys+VZkoYhLXjFPDGkltT+X27oEAAAAADgLQhHUC6+WnNQGdl2x7afzaq72jc0D9o5Vzr8h7nW/VnJL9gNHQIAAAAAvAXhCNwuPStbX64+aKrd+pe6qhbin1uwZ+d/1kjVxtI197ihQwAAAACANyEcgdvNjkvQqaQMU23wpa/vjZsmndxhrvV6UfLxdXF3AAAAAABvQzgCtzIMI9/reztdUU0xdarkFjLTpMVjzBNrt5JaDnBDhwAAAAAAb0M4Ardas/+MtiUkmmr3XXrVyLpPpfPx5lrvUZKV5QoAAAAAcD6+bcKtpqwwXzUSWS1IvZrXzC2kJUrL3jZPiuwiRfV2Q3cAAAAAAG9EOAK3OXQ6Rb9tO26q3dupkaxWS25h1QdSymnzxD6jJItFAAAAAAC4AuEI3OazVQdkGLnbof423damQW4h6aS06j/mSc3/KjVo654GAQAAAABeiXAEbnEhLVPT/zA/R+T2tg0U4m/LLSx7W8pIyt22WHPeUAMAAAAAgAsRjsAtvl9/WEnpWY5tqyXnlhqHswelPyabJ119p1Qzxj0NAgAAAAC8FuEIXM5uN/TZygOm2rUtaqlBRFBuYfEYyZ6Zu+3jJ/V43j0NAgAAAAC8GuEIXG7p7pM6cDrFVBuc9/W9x7dJcdPMk9o+IIU3dEN3AAAAAABvRzgCl/t81UHTdvPaoWrfOCK3sPA1SXme1OoXKnUd5p7mAAAAAABej3AELnXwdLIW7Txhqg3q2EiWi6/mPbRG2jnXPKnTY1JwdTd1CAAAAADwdoQjcKkvVh00vb63SoBNt8bWzdkwDGn+KPOEoOpSx6Fu6w8AAAAAAMIRuExKRpa+XXfJ63vbNFCQ3/9e37v7d+nQSvOkbsMl/1A3dQgAAAAAAOEIXGjmn0eVmJb7+l6LRRrYITJnw26XFrxinhDWUGoz2I0dAgAAAABAOAIXMYz8r+/tEV1DjaoH52xs+UE6vsU8qecIyebvngYBAAAAAPgfwhG4xB8HzmrHsQum2qBOjXI+ZGVIi143T6jZQrrqdvc0BwAAAABAHoQjcInPVh0wbUdWC1L3pjVyNjZ8Jp0171fvlyWrj1t6AwAAAAAgL8IRON2x82n6dcsxU+2fHSJltVqk9CRpyVjzhAbtpejr3dghAAAAAAC5CEfgdF+vPaQse+77ewN9fXRb6wY5G2smSsknzBP6jMp5WisAAAAAAOWAcAROlZFl19drDplqt8bWU1iQr5RyRlrxnnlC075SZCc3dggAAAAAgBnhCJxq3pYEnUpKN9UGdfzf63uXj5fSE80Ter/sps4AAAAAACgY4Qic6tLX97ZrHKGYOlWk80ekNZPMg1vdJtVu5b7mAAAAAAAoAOEInGbz4fPacOicqXZPx0Y5H5a8KWXnuaLEapN6/tttvQEAAAAAUBjCETjN55e8vrd2lQD1bVlLOrlL2vileXDrwVJEY/c1BwAAAABAIQhH4BRnkzM0M+6oqXZ3+4by9bFKC1+TDHvuDt8gqdtwN3cIAAAAAEDBCEfgFNPXxSsjKzcA8fWx6B/tGkpH1kvbZ5kHdxgqhdZyc4cAAAAAABSMcASXLdtu6ItVB021m1rVUY1Qf2n+K+bBgVWlzo+7sTsAAAAAAIpGOILLtmD7cR05l2qqDerUSNq7SNq/xDy4y9NSQJj7mgMAAAAAoBiEI7hsn19y1UiremGKrR8mzR9lHlilntRuiPsaAwAAAACgBAhHcFn2nUzS8j2nTLVBHSNl2T5TSvjTPLjH85JvoPuaAwAAAACgBAhHcFm+XnPItB0e5Kubr6whLXjNPLBaU+nqu9zYGQAAAAAAJUM4gjJLy8zW9xsOm2q3ta6vgK3TpDN7zYN7vyT52NzYHQAAAAAAJUM4gjKbsylB51IyTbW7W9eUFr9pHlj3GinmFjd2BgAAAABAyRGOoMy+WmN+EGuXqOpqtPcr6UKCeWCfUZLF4r7GAAAAAAAoBcIRlMm2o4nacOicqXZPbLi0bLx5YJOeUpPubusLAAAAAIDSIhxBmVx61UjNUH/1OvONlHbOPLD3y+5rCgAAAACAMiAcQaklpWdpxsYjptr9VwfKZ82H5oEtbpXqXeO+xgAAAAAAKAPCEZTajI1HlJyR7di2WqSBGdOlrNTcQRYfqdeL5dAdAAAAAAClQziCUjEMQ1+uNt9S84+oLAVv+co8MHagVL2pGzsDAAAAAKBsCEdQKhsOndOOYxdMtSes30r2rNyCLUDq8bybOwMAAAAAoGwIR1AqX11y1UjP8GOqdfBn86D2D0lV6rqxKwAAAAAAyo5wBCV2NjlDP29OMNVeCfrePMg/TOr8pPuaAgAAAADgMhGOoMS+X39YGVl2x3Zn23Y1PLPSPKjLE1JQhJs7AwAAAACg7AhHUCJ2u6Gv1x7KUzH0esgP5kEhtaT2/3JrXwAAAAAAXC7CEZTIyr2ntf9UsmP7Wut6NU7bZh7U/VnJL9jNnQEAAAAAcHkIR1AiX63JfRCrVXb9O+A784CqjaVr7nFzVwAAAAAAXD7CERTreGKaftt23LHd37pcjezx5kG9XpR8fN3cGQAAAAAAl49wBMWa/ke8su2GJMlfGRrme8kbamq3kloOKIfOAAAAAAC4fIQjKFJWtl3f5HkQ690+C1TXcso8qPcoycpSAgAAAAB4Jr7RokiLdp5Uwvk0SVKIUvSIbYZ5QGQXKaq3+xsDAAAAAMBJCEdQpC9X5z6I9QHbXFWzXDAP6DNKsljc2xQAAAAAAE5EOIJCxZ9J0dLdJyVJ1XReD/jMNQ9o/lepQdty6AwAAAAAAOchHEGhvl0XLyPnOax61DZDIZa03J0Wa84bagAAAAAA8HCEIyhQVrZd367LeV1vfctJ3e0z3zzg6julmjHl0BkAAAAAAM5FOIICLd55UscT0yVJT9m+l58lO3enj5/U4/ly6gwAAAAAAOciHEGBpv2R8/reaEu8+luXm3e2fUAKb1gOXQEAAAAA4HyEI8jn2Pk0LdxxQpI03PatrBYjd6dfqNR1WDl1BgAAAACA8xGOIJ/v1sXLbkjXWHbpWp/15p2dHpOCq5dPYwAAAAAAuADhCEzsdkPT/oiXZOg532nmnUHVpY5Dy6UvAAAAAABchXAEJsv2nNKRc6nqYf1T7a07zDu7DZf8Q8unMQAAAAAAXIRwBCbT1h6SRXY9Z5tu3hHWUGozuHyaAgAAAADAhQhH4HDyQrp+33ZcN1tXKcZ6yLyz5wjJ5l8+jQEAAAAA4EKEI3D4YcNhWeyZGmb7zryjZgvpqtvLpykAAAAAAFyMcASSJMMwNP2PeN3hs0iR1hPmnb1flqw+5dMYAAAAAAAuRjgCSdLqfWd0/NRpPWH70byjQXsp+vryaQoAAAAAADdwWzhy8OBBDRs2TM2bN1dwcLAiIiLUtm1bjRs3TikpKU47z7x589S/f3/Vr19f/v7+ql+/vvr376958+Y57RyV0bQ/Dmmwzy+qYTlv3tFnlGSxlEtPAAAAAAC4g80dJ5k9e7YGDhyoxMRERy0lJUXr1q3TunXr9Mknn2jOnDmKiooq8znsdrsefPBBTZ482VQ/cuSIjhw5ohkzZuiBBx7QRx99JKuVC2byOpeSoVVbdmu+bbZ5R9O+UmSn8mkKAAAAAAA3cXlKsHHjRt1xxx1KTExUSEiIRo8erZUrV2rBggUaMmSIJGnXrl266aabdOHChTKf59///rcjGImNjdU333yjtWvX6ptvvlFsbKwk6ZNPPtGLL754+b+pSubHDUd0v2aoiiXVUTNkyXnWCAAAAAAAlZzFMAzDlSfo1q2bli1bJpvNpqVLl6pjx46m/ePGjdOzzz4rSRo5cqRGjRpV6nPs2rVLLVu2VFZWltq0aaOlS5cqMDDQsT8lJUXdu3fXunXrZLPZtH379su6SqUghw8fVoMGDSRJ8fHxql+/vlOP7yqGYeju8T9qSuJD8rdk5u5odbv0t4/LrzEAAAAAAArgiu/fLr1yZO3atVq2bJkk6f77788XjEjSsGHDFBMTI0maMGGCMjMz840pzrvvvqusrCxJ0vvvv28KRiQpKChI77//viQpKytL//d//1fqc1RWGw6e0a1np5qCEbvFJvUcUY5dAQAAAADgPi4NR2bMmOH4PHjw4IIbsFo1aNAgSdK5c+e0aNGiUp3DMAzNnDlTktS8eXN16NChwHEdOnRQs2bNJEkzZ86Uiy+YqfiObZZ++pdafdZct9uWmnZZ2gyWIhqXU2MAAAAAALiXS8OR5cuXS5KCg4PVunXrQsd1797d8XnFihWlOsf+/ft19OjRfMcp6jxHjhzRgQMHSnWeSmXz99KkHlLcN/IzMky7DEmWGjHl0hYAAAAAAOXBpeHI9u3bJUlRUVGy2Qp/MU7z5s3zzSmpbdu2FXgcZ5+n0ji2WfrpIcmeVeBuiyT98mzOOAAAAAAAvIDLXuWblpamU6dOSVKxD0epWrWqgoODlZycrPj4+FKd5/Dhw47PxZ3n4gNbJF3WeQqSkJBQquOVm1UfFBqMONizpFX/lfpPdE9PAAAAAACUI5eFI3lfyxsSElLs+IvhSFJSksvOExwc7Phc2vPkDVY8lt0ubZtZsrHbZkj9PpCsLn/bMwAAAAAA5cpl33zT0tIcn/38/Iod7+/vL0lKTU112XkunqMs56kUslKlzJSSjc1MyRkPAAAAAEAl57IrRwICAhyfMzIyihiZIz09XZLyvYbXmee5eI6ynKe423ASEhLUrl27Uh3T7WyBkm9QyQIS36Cc8QAAAAAAVHIuC0dCQ0Mdn0tyC0tycrKkkt2CU9bzXDxHWc5T3PNMPILVKrXoJ8V9U/zYFrdySw0AAAAAwCu47NtvQECAqlWrJqn4h5mePXvWEVyU9tkeeUOL4s6T9+qPSvEMkbLo+IhkLSYTs9qkjkPd0w8AAAAAAOXMpZcGtGjRQpK0Z88eZWUV/oaUHTt2OD7HxMSU6RyXHsfZ56k0areS+n9UeEBiteXsr93KvX0BAAAAAFBOXBqOdOnSRVLO7Szr168vdNySJUscnzt37lyqczRu3Fh169bNd5yCLF26VJJUr149NWrUqFTnqVRa/V16cLF09V05zxaRcv579V059VZ/L8/uAAAAAABwK5eGI7feeqvj85QpUwocY7fb9fnnn0uSwsPD1bNnz1Kdw2KxqF+/fpJyrgxZvXp1geNWr17tuHKkX79+slgspTpPpVO7ldR/ovTCEWnE0Zz/9p/IFSMAAAAAAK/j0nCkXbt26tq1qyRp8uTJWrVqVb4x77zzjrZv3y5JeuKJJ+Tr62vav3jxYlksFlksFt17770FnufJJ5+Uj4+PJOmxxx7L95re1NRUPfbYY5Ikm82mJ5988nJ+W5WL1Sr5BfPwVQAAAACA13L5N+IJEyYoMDBQWVlZ6tu3r8aMGaPVq1dr0aJFeuihh/Tss89KkqKjozVs2LAynSM6OlrDhw+XJK1bt06dO3fW9OnTtW7dOk2fPl2dO3fWunXrJEnDhw9X06ZNnfObAwAAAAAAHs9lr/K9KDY2VtOnT9fAgQOVmJioESNG5BsTHR2tOXPmmF7LW1qjR4/WiRMn9Omnn2rjxo36xz/+kW/M/fffr9dff73M5wAAAAAAAJWPW+6luPnmm7Vp0yY99dRTio6OVlBQkMLDw9WmTRu99dZb2rhxo6Kioi7rHFarVZMnT9acOXPUr18/1a1bV35+fqpbt6769eunuXPn6pNPPpGV20cAAAAAAEAeFsMwjPJuojI4fPiwGjRoIEmKj49X/fr1y7kjAAAAAAAqH1d8/+YyCgAAAAAA4NUIRwAAAAAAgFcjHAEAAAAAAF6NcAQAAAAAAHg1whEAAAAAAODVCEcAAAAAAIBXIxwBAAAAAABejXAEAAAAAAB4NcIRAAAAAADg1QhHAAAAAACAVyMcAQAAAAAAXo1wBAAAAAAAeDXCEQAAAAAA4NUIRwAAAAAAgFcjHAEAAAAAAF6NcAQAAAAAAHg1whEAAAAAAODVCEcAAAAAAIBXIxwBAAAAAABezVbeDVQWWVlZjs8JCQnl2AkAAAAAAJVX3u/ceb+LXw7CESc5efKk43O7du3KsRMAAAAAALzDyZMn1ahRo8s+DrfVAAAAAAAAr2YxDMMo7yYqg7S0NG3evFmSVKNGDdlsFf+inISEBMdVLmvXrlWdOnXKuSOg7FjPqGxY06hMWM+oTFjPqGw8cU1nZWU57t5o1aqVAgICLvuYFf8bvIcICAhQ27Zty7uNMqtTp47q169f3m0ATsF6RmXDmkZlwnpGZcJ6RmXjSWvaGbfS5MVtNQAAAAAAwKsRjgAAAAAAAK9GOAIAAAAAALwa4QgAAAAAAPBqhCMAAAAAAMCrEY4AAAAAAACvRjgCAAAAAAC8msUwDKO8mwAAAAAAACgvXDkCAAAAAAC8GuEIAAAAAADwaoQjAAAAAADAqxGOAAAAAAAAr0Y4AgAAAAAAvBrhCAAAAAAA8GqEIwAAAAAAwKsRjgAAAAAAAK9GOAIAAAAAALwa4QgAAAAAAPBqhCMV3MGDBzVs2DA1b95cwcHBioiIUNu2bTVu3DilpKQ47Tzz5s1T//79Vb9+ffn7+6t+/frq37+/5s2bV+JjZGVl6cMPP1TXrl1Vo0YNBQYG6oorrtBDDz2krVu3Oq1XeC5PWM/Hjx/XJ598orvuukstWrRQSEiI/Pz8VKdOHV1//fWaNGmSUlNTndYrPJsnrOnCbNq0Sb6+vrJYLLJYLLr33nud1i88k6et58zMTE2dOlU33XSTGjZsKH9/f1WvXl2tWrXSAw88oO+++85pPcPzeNJ6XrVqle677z41a9ZMISEh8vf3V506dXTdddfp448/VkZGhtP6hedy5Zq22+3atm2bpk6dqqFDh6pt27by9/d3/B1h8eLFpTpeSkqKxo4dq7Zt2yoiIkLBwcFq3ry5hg0bpoMHD15Wry5loMKaNWuWUaVKFUNSgb+io6ON3bt3X9Y5srOzjfvvv7/Qc0gyHnjgASM7O7vI45w8edJo27Ztocfw9/c3Pv7448vqFZ7NE9bzpEmTDB8fnyLnSzKaNm1qxMXFXVav8HyesKaLOm67du1Mx7nnnnsuq1d4Nk9bz3FxccaVV15Z5LHCwsIuq194Lk9Zz3a73XjssceK/XtHy5YtjYMHD15Wv/Bsrl7TU6dOLXINLlq0qMTH2r17t9G0adNCj1WlShVj9uzZZe7VlQhHKqgNGzYYgYGBhiQjJCTEGD16tLFy5UpjwYIFxpAhQ0w/CImJiWU+z/PPP+84VmxsrPHNN98Ya9euNb755hsjNjbWse+FF14o9BhZWVlGly5dHGMHDBhgzJs3z1izZo3x3nvvGTVr1jQkGVar1Zg7d26Ze4Xn8pT1/NprrxmSDD8/P2PAgAHGhx9+aCxZssTYsGGD8d133xl9+/Z1HKNGjRpGfHx8mXuFZ/OUNV2YCRMmGJIc/38mHPFunrae4+LijIiICEOSERAQYDz66KPGrFmzjPXr1xurVq0yPv/8c+Ouu+4yGjRoUOZe4bk8aT2/8cYbjnGhoaHGyJEjjd9++81YuXKlMWXKFFMAeOWVVxqZmZll7heeyx1resqUKY7j+Pr6Gtdcc43RqlWrUocjiYmJRnR0tGPekCFDjAULFhgrV640Ro8ebYSEhBiSjKCgIGPjxo1l6tWVCEcqqK5duxqSDJvNZqxcuTLf/rFjxzoW3ciRI8t0jp07dxo2m82QZLRp08ZISUkx7U9OTjbatGnj6KOwNHLy5MmOXoYOHZpv/+7dux1JZ1RUFP9j90Kesp7Hjx9vPPfcc8aJEycKPc/TTz/t6HXw4MFl6hWez1PWdEHi4+ON0NBQw2KxGJ999hnhCDxqPaempjr+4t2wYUNj165dhZ4zPT29TL3Cs3nKes7IyDDCw8Md/yhT0BfFzMxMo3379o5+v/vuuzL1C8/mjjV98R+1V61aZaSmphqGYRgjR44sdTjy0ksvOeaMHTs23/4VK1Y4fna6d+9epl5diXCkAlqzZo1jUT300EMFjsnOzjZiYmIMSUZ4eLiRkZFR6vM8/PDDjvOsWrWqwDGrVq0qMvgwDMPRR0REhJGcnFzgmDFjxjiO8+2335a6V3guT1vPxUlPTzfq1KljSDmXbJf2dgZ4Pk9f07fccosj3Nu/fz/hiJfztPV88Qo/q9VqrF69utR9oHLzpPUcFxfn2D9gwIBCzzVz5kzHuKeffrrUvcKzuWtNF6S04UhGRoYRFhZmSDJiYmIK/TvyQw895Dju2rVrndKrs/BA1gpoxowZjs+DBw8ucIzVatWgQYMkSefOndOiRYtKdQ7DMDRz5kxJUvPmzdWhQ4cCx3Xo0EHNmjWTJM2cOVOGYZj279q1S9u3b5ck3X777QoKCirwOHkf9PfTTz+Vqld4Nk9azyXh5+enzp07S5LOnz+v06dPl/oY8GyevKa///57zZo1S9WqVdO4ceNK1RMqJ09az9nZ2frwww8lSX369FH79u1L1QcqP09az3kfstqkSZNCz3fFFVcUOAfewR1r2lkWLVqk8+fPS5LuueceWa0FRw0V+Xsh4UgFtHz5cklScHCwWrduXei47t27Oz6vWLGiVOfYv3+/jh49mu84RZ3nyJEjOnDgQIG9Fnec2rVrKzo6uky9wrN50nouqfT0dMdnHx+fMh0DnstT1/T58+f1+OOPS5LGjh2ratWqlaonVE6etJ5XrlypI0eOSJJuueUWRz0tLU179+7VkSNHlJ2dXareULl40npu2rSpLBaLJGnfvn2FHmPv3r2OzxfDFngPd6xpZynp98I2bdo4/kG9on0vJBypgC5eiREVFSWbzVbouObNm+ebU1Lbtm0r8DilPU9ZjhMfH6/k5OQS9wrP5knruSQyMzO1atUqSVKtWrUUERFR6mPAs3nqmn7uueeUkJCgrl27FvqvT/A+nrSeV69e7fjcqlUr7d69W3/7299UpUoVRUVFqX79+qpWrZoGDRpk+kIJ7+FJ6zksLEx33nmnJOnnn3/Wpk2b8s3PysrSmDFj8o2H93DHmnaWkv5s2Gw2RUVFSSq/XgtDOFLBpKWl6dSpU5Kk+vXrFzm2atWqCg4OlpQTOJTG4cOHHZ+LO0+DBg0cny89T1mOYxiGaR4qL09bzyUxadIkx+/ptttuK/V8eDZPXdMrVqzQpEmT5Ovrq4kTJzr+tRLezdPWc96/eO/YsUOxsbH68ccflZmZ6aifP39eX3zxhWJjYzV//vxS9QnP5mnrWZLGjx+va665RhkZGeratateffVVzZ8/X6tXr9Znn32mNm3aaPXq1QoKCtLnn3/OFX9exl1r2lku/mwEBwcrPDy8yLEXfzZOnjxpuiK7vBGOVDAXLlxwfA4JCSl2/MUfgqSkJJed5+I5CjqPs46DysnT1nNx9u3bp3//+9+O87zwwgulmg/P54lrOiMjQw8++KAMw9DTTz+tli1blqoXVF6etp7PnDnj+PzEE08oOTlZTz31lHbv3q309HTt3btXw4cPl8Vi0YULF3Tbbbfp0KFDpeoVnsvT1rOUcwXqsmXL9O677yowMFAjR47Utddeq44dO+ree+/Vpk2b9MADD2j9+vWmW8ngHdy1pp3lYr+l6VWqWN8LCUcqmLS0NMdnPz+/Ysf7+/tLklJTU112novnKOg8zjoOKidPW89FSUlJ0YABAxwPmnr//fdVt27dUvUJz+eJa/rNN9/Utm3b1KhRI7388sul6gOVm6et57y35KalpenVV1/V+PHjFRUVJT8/PzVp0kRjx47V6NGjJeU8mPDiLQmo/DxtPV+0cOFCffnllzp+/Hi+fRcf/jp16lQexuqF3LWmneViv6XpVapY3wsJRyqYgIAAx+eS/E/w4mVIgYGBLjtP3kudLj2Ps46DysnT1nNhsrKydNtttykuLk6S9PDDD5uetA3v4WlreufOnXrjjTck5QR6hb1RDN7J09Zz3uNUr15dzz33XIHHGD58uGrXri1J+vbbb8v0ZjJ4Hk9bz5I0YcIE3XLLLVq3bp26deum33//XefPn1d6erq2bdumZ555RmfOnNFbb72lXr16Vah/YYfruWtNO8vFfkvTq1SxvhcSjlQwoaGhjs8l+R/gxX9FKcnlS2U9T95/qbn0PM46DionT1vPBTEMQ/fee6/mzp0rKeeV1f/5z39K1R8qD09a04Zh6KGHHlJ6err69++vv/71r6XqAZWfJ63nS4/To0ePQv910mazqXfv3pJybsUp6k0gqDw8bT1v2rRJTz/9tAzDUJ8+fbRw4UL16dNHVapUkZ+fn2JiYjRu3DhNmjRJUs6zo0aOHFmqXuHZ3LWmneViv6XpVapY3wsJRyqYgIAAx8OWinto6dmzZx0LK+8Dn0oi70N9ijtP3of6XHqeshzHYrEU+1AhVA6etp4L8sgjj+irr76SJN1www368ssvC31vOyo/T1rTq1ev1pIlSyRJnTp10rRp0/L9mj17tmP8/v37HfUtW7aUql94Jk9az5duF9dD3v0nT54sUZ/wbJ62nqdMmSK73S5JeuWVV+Tj41PgMe677z41bdpUkjR16lSuhPIi7lrTznLxZyM5OVnnzp0rcuzFn40aNWqYbrEpb/wNvwJq0aKFJGnPnj3KysoqdNyOHTscn2NiYsp0jkuPU9rzlOU4DRo0MD2EB5WbJ63nSz333HOaOHGiJKlbt2764Ycf5OvrW6reUPl4yprOe8nq8OHDdeedd+b79fjjjzvGLF261FH//vvvS9UvPJenrGdJpocJZ2dnF3mcvPuLev0lKhdPWs95X2F6zTXXFHmci/vPnDmjEydOlLhXeD53rGlnKenPRlZWluN16+XVa2EIRyqgLl26SMpJ3davX1/ouIv/IihJnTt3LtU5Gjdu7HiYZN7jFGTp0qWSpHr16qlRo0YF9lrccY4dO6Zdu3aVqVd4Nk9az3m9/vrrGjt2rCSpbdu2+vnnnyvUPZEoP566poGCeNJ67tatm+NzcbfKXPyL98VjwTt40nrOG9oV9aVXkul11YR93sUda9pZSvq9cN26dY6rXCrc90IDFc6aNWsMSYYk46GHHipwTHZ2thETE2NIMsLDw42MjIxSn+fhhx92nGfVqlUFjlm1apVjzNChQwscc7GPiIgIIzk5ucAxY8aMcRzn22+/LXWv8Fyetp4NwzDeffddx7hWrVoZp0+fLnU/qLw8cU0XZv/+/Y7599xzT6nnw/N52nqOjY01JBnBwcHGuXPnChyTmJhoVKlSxZBkXHHFFaXuFZ7Lk9bzo48+6tg/d+7cQs+VkZFh1KlTx5BkhIWFGXa7vdT9wnO5a00XZOTIkY5zL1q0qNjx6enpRlhYmCHJiImJKXStPvTQQ47jrl271im9OgvhSAXVtWtXQ5Jhs9mMlStX5ts/duxYx6IaOXJkvv2LFi0q9i+8O3fuNHx8fAxJRps2bYyUlBTT/pSUFKNNmzaOPnbt2lXgcSZPnuw41yOPPJJv/549exx/SYmKijIyMzOL/wNApeJJ6/nTTz81LBaLIcmIjo42jh07VurfLyo/T1rTRSEcgWF41nqePn2641z33ntvgWMeeOABx5hx48YV/ZtHpeMp6/nXX391nOeqq64yzp8/X+C5XnjhBce4O++8s/g/AFQ67ljTBSltOGIYhvHSSy855owdOzbf/pUrVxo2m82QZHTv3r3EvbgL4UgFtWHDBiMwMNCQZISEhBhvvPGGsWrVKmPhwoXGgw8+6Fh00dHRRmJiYr75Jf0heP755x3jYmNjjWnTphl//PGHMW3aNMe/zkgyXnjhhUKPkZWVZXTu3Nkx9m9/+5vxyy+/GGvWrDHef/99o2bNmoYkw2q1FpmMo/LylPX8008/Of6yU6VKFWPevHnG5s2bi/yVlJTkrD8meBBPWdPFIRyBYXjeer7xxhsdY6+77jpjxowZxoYNG4yZM2ea9sXGxhqpqamX+8cDD+NJ67lXr16OcY0bNzbeffddY+XKlcaGDRuMb7/91rj++usd+4ODg40dO3Y4448IHsZda3rKlCmmX/369XPMe+6550z7li1bVuAxEhMTjejoaMe8Bx980Fi4cKGxatUq44033jBCQkIMSUZgYKCxceNGJ/0JOQ/hSAU2a9YsxxUXBf2Kjo42du/eXeDckv4QZGdnG/fdd1+h55Bk3H///UZ2dnaRvZ48edJo27Ztocfw9/c3Pv7448v544CH84T1fM899xQ5t6BfJU3SUfl4wpouDuEILvKk9XzhwgWjb9++RR6nbdu2RkJCwuX8kcCDecp6PnPmjNGzZ89i/65Ro0YN4/fff7/cPxZ4MHes6dL8/beo4+zevdto2rRpoXOrVKlizJ49+zL/RFyDcKSCO3DggPHUU08Z0dHRRlBQkBEeHm60adPGeOuttwp9vodhlP7yqTlz5hj9+vUz6tata/j5+Rl169Y1+vXrV6orPTIzM43//ve/RpcuXYxq1aoZAQEBRpMmTYwhQ4YYW7ZsKfFxUHlV9PVMOILSquhrujiEI8jLk9az3W43vvnmG+P66683ateubfj6+ho1atQwrr32WuPTTz81srKySnwsVE6esp7tdrsxY8YM4/bbbzcaN25sBAYGOtZzjx49jLfeeotnn8EwDNevaWeFI4ZhGElJScZbb71ltGnTxggPDzeCgoKMZs2aGU899ZRx4MCBMv4JuJ7FMHhZNgAAAAAA8F68yhcAAAAAAHg1whEAAAAAAODVCEcAAAAAAIBXIxwBAAAAAABejXAEAAAAAAB4NcIRAAAAAADg1QhHAAAAAACAVyMcAQAAAAAAXo1wBAAAAAAAeDXCEQAAAAAA4NUIRwAAAAAAgFcjHAEAAAAAAF6NcAQAAAAAAHg1whEAAAAAAODVCEcAAAAAAIBXIxwBAAAAAABejXAEAAAAAAB4NcIRAADgUqNGjZLFYpHFYinvVsrFwoULZbFYVKtWLaWkpDjtuDfddJMsFotGjhzptGMCAOCtCEcAAABcxG6368knn5QkPfPMMwoKCnLasV966SVJ0ttvv63Dhw877bgAAHgjwhEAAFBqU6dOdVwNcuDAgfJup8KaNm2aNm/erOrVq2vo0KFOPXaHDh107bXXKiUlRW+88YZTjw0AgLchHAEAAC41atQoGYYhwzDKuxW3Gz16tCTpoYceUnBwsNOPP2zYMEnS5MmTlZCQ4PTjAwDgLQhHAAAAXOD333/Xtm3bJEkDBw50yTn69OmjmjVrKiMjQx999JFLzgEAgDcgHAEAAHCByZMnS5KuueYaNW/e3CXn8PHx0R133CFJmjJlildenQMAgDMQjgAAgBJbvHixLBaLBg8e7Kg1btzY8fyRi78WL17s2F/c22oaNWoki8Wie++9V5K0YcMG3X333WrQoIECAwMVFRWlp59+WqdOnTLNW7lypW677TY1bNhQAQEBuuKKK/Tcc8/pwoULxf4+srOz9dlnn+mvf/2r6tatK39/f1WrVk1dunTR+PHjlZqaWvo/nDzS0tI0a9YsSdLf/va3YnuZOnWqrrvuOtWuXVt+fn4KCwtT06ZN1bt3b73xxhuOK1AKcvH4hw4d0ooVKy6rbwAAvJWtvBsAAAC46IsvvtADDzygjIwMR23v3r36v//7P82ZM0dLlixR7dq19fbbb+vZZ581XSmxb98+jR07VvPnz9eSJUsUEhJS4DkOHTqkW265RXFxcab6mTNntGLFCq1YsUITJ07UnDlzFB0dXabfx5o1axwBS4cOHQodl5SUpBtvvFHLli0z1TMzM5WYmKg9e/Zo4cKF2rBhg77//vsCj9G2bVv5+PgoOztb8+bNU5cuXcrUMwAA3oxwBAAAlFjbtm21efNmzZw5Uy+++KIk6ddff1XdunVN4xo3blzqY8fFxembb75RVFSUnnnmGbVq1UoXLlzQp59+qi+//FK7du3SM888owEDBmj48OHq0KGDHnvsMTVr1kynTp3Se++9p7lz52rDhg16/fXX9eabb+Y7x+nTp9WlSxfFx8fL399fQ4YMUffu3dWoUSMlJSXpt99+04QJE7Rnzx7dcMMN2rBhg8LCwkr9e7kYdlgsFrVu3brQcaNGjXKM/etf/6q7777bcSXMiRMntHHjRv3888+FXnUjSUFBQWrZsqU2bdqkJUuWlLpXAAAgWQxuTgUAAKU0depUx601+/fvV6NGjQodO2rUKL3yyiuSVOAzMRo1aqSDBw9Kkjp16qTff/9dQUFBpjG33Xabvv/+e/n4+CgsLEw9e/bU9OnT5ePj4xiTnZ2tLl26aPXq1apWrZqOHTsmm83870B33323vv76a0VGRmrRokUFhjgbN25U165dlZycrBEjRjjeOFMaN954o+bNm6crrrhCe/bsKXRcw4YNFR8fr7///e/67rvvCh135swZRUREFLr/vvvu05QpUxQUFKSkpKQiwxQAAJAfzxwBAAAVgsVi0SeffJIvGJGkoUOHSsoJQNLS0jRp0iRTMCLlPJz0wQcflJRzhcilz+k4cOCApk+fLkn6z3/+U+jVLbGxsXrkkUck5YRAZXH48GFJUs2aNYscd+zYMUlS165dixxXVDCS9zwpKSmOYwIAgJIjHAEAABXCVVddpZiYmAL3XX311Y7P1157baFhQd5x+/btM+2bM2eOsrOzFRQUpBtuuKHIXrp16yZJOnr0qA4dOlSi/vM6efKkJKlq1apFjqtTp44kafr06UpJSSn1eS7K++dBOAIAQOkRjgAAgAqhqIefhoeHl3rcpW+tWbdunaScqytsNlu+N+zk/fXXv/7VMa8sYcOZM2ckFR+O3HPPPZJy3rzTuHFjPfroo/rpp58c4UpJ5T1PcnJyKbsFAACEIwAAoEIo6Haai6xWa6nHZWdnm/adOHGiTH2V5YqOgIAASSr2lcAvvfSS7rvvPlksFp04cUIffPCBBgwYoJo1a+rKK6/UyJEjdfz48WLPl/c8vr6+pe4XAABvx9tqAACAV7gYllSvXl2LFi0q8byyvHmnRo0aSkxMdFxBUhhfX19NnjxZw4YN0zfffKOFCxdq3bp1ysjI0NatW7V161aNHz9eX375pfr161focfKeJ+/VMwAAoGQIRwAAgFeoVq2apJzbbWJiYvI90NWZatSoob179+rs2bMlGt+iRQu99tpreu2115SWlqbly5fr66+/1ueff66kpCTdeeed2rt3r+MZJZfKe54GDRo45fcAAIA34bYaAABQap74qtjY2FhJUnp6uuP5I67SqlUrSdLevXtlt9tLNTcgIEB9+vTRp59+qnHjxknKuW3m559/LnTOrl27JOVc5VLUbUcAAKBghCMAAKDULj5TQ8oJGzzBzTff7Ah13n33XZee6+KreZOSkrR9+/YyH6d3796Oz6dOnSp03MWwp3379mU+FwAA3oxwBAAAlFre2zv27t1bjp2UXLNmzXTbbbdJkqZNm6bx48cXOX7//v365ptvynSui+GIJK1du7bAMWfOnNHs2bNlGEahx/ntt98cnwt79sm+ffscwUnfvn3L0i4AAF6PZ44AAIBSi42NVUBAgNLS0vTSSy/J19dXkZGRjrfF1KtXT4GBgeXcZX4TJ07UunXrtG/fPg0bNkwzZ87UoEGD1LJlS/n7++v06dOKi4vTL7/8ooULF6p///668847S32eRo0a6aqrrtKmTZu0YMECDR48ON+YxMRE3XLLLWrUqJEGDBig9u3bKzIyUjabTQkJCZo9e7Y++eQTSTl/nnlfL5zXggULJEk2m63QMQAAoGiEIwAAoNRCQ0P1+OOPa+zYsdqwYUO+KxYWLVqkHj16lE9zRYiIiNCKFSt0++23a9myZVq6dKmWLl1a6PgqVaqU+VxDhgzRY489ppkzZyolJaXQZ4EcOHCgyKtY6tSpo5kzZyokJKTA/V9//bUk6brrrlONGjXK3C8AAN6M22oAAECZvPnmm/r444/VtWtXRUREuPTtL85Uu3ZtLV26VD///LPuvvtuNWnSREFBQfL19VWNGjXUqVMnDRs2TEuWLNGnn35a5vMMHDhQgYGBSkpK0qxZs/Ltj4yM1Nq1azVq1Cj17dtXzZo1U3h4uGw2m6pXr65u3bpp3Lhx2rFjh1q3bl3gOY4cOeIId4YOHVrmXgEA8HYWo6gbXQEAAFBmQ4cO1cSJE9WnTx/9/vvvTj/+66+/rpdeekkxMTHaunWrR75FCACAioBwBAAAwEWOHTumqKgoJScna9WqVerQoYPTjp2UlKRGjRrp9OnTmjZtmu644w6nHRsAAG/DbTUAAAAuUrt2bT311FOSpFdffdWpx/7ggw90+vRptWvXTrfffrtTjw0AgLfhgawAAAAu9Oyzz8pmy/krV1EPZi2t0NBQjRw5UgMGDOB2GgAALhO31QAAAAAAAK/GbTUAAAAAAMCrEY4AAAAAAACvRjgCAAAAAAC8GuEIAAAAAADwaoQjAAAAAADAqxGOAAAAAAAAr0Y4AgAAAAAAvBrhCAAAAAAA8GqEIwAAAAAAwKsRjgAAAAAAAK9GOAIAAAAAALwa4QgAAAAAAPBqhCMAAAAAAMCrEY4AAAAAAACvRjgCAAAAAAC8GuEIAAAAAADwaoQjAAAAAADAqxGOAAAAAAAAr0Y4AgAAAAAAvBrhCAAAAAAA8Gr/D/ujdip5D9rcAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 434,
       "width": 547
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# continuous-time plant model\n",
    "plantcont = ct.tf(1, (0.03, 1), inputs='u', outputs='y')\n",
    "t, y = ct.step_response(plantcont, 0.1)\n",
    "plt.plot(t, y, label='continouous-time model')\n",
    "\n",
    "# create discrete-time simulation form assuming a zero-order hold\n",
    "simulation_dt = 0.02 # time step for numerical simulation (\"numerical integration\")\n",
    "plant_simulator = ct.c2d(plantcont, simulation_dt, 'zoh')\n",
    "\n",
    "t, y = ct.step_response(plant_simulator, 0.1)\n",
    "plt.plot(t, y, '.-', label='discrete-time model')\n",
    "plt.legend()\n",
    "plt.xlabel('time (s)');"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "17955fa7",
   "metadata": {},
   "source": [
    "Next we create a model of a sampled-data controller that operates as a nonlinear discrete-time system with a much shorter time step than the controller's sampling time `Ts`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "654c2948",
   "metadata": {},
   "outputs": [],
   "source": [
    "def sampled_data_controller(controller, plant_dt): \n",
    "    \"\"\"\n",
    "    Create a (discrete-time, non-linear) system that models the behavior \n",
    "    of a digital controller. \n",
    "    \n",
    "    The system that is returned models the behavior of a sampled-data \n",
    "    controller, consisting of a sampler and a digital-to-analog converter. \n",
    "    The returned system is discrete-time, and its timebase `plant_dt` is \n",
    "    much smaller than the sampling interval of the controller, \n",
    "    `controller.dt`, to insure that continuous-time dynamics of the plant \n",
    "    are accurately simulated. This system must be interconnected\n",
    "    to a plant with the same dt. The controller's sampling period must be \n",
    "    greater than or equal to `plant_dt`, and an integral multiple of it. \n",
    "    The plant that is connected to it must be converted to a discrete-time \n",
    "    approximation with a sampling interval that is also `plant_dt`. A \n",
    "    controller that is a pure gain must have its `dt` specified (not None). \n",
    "    \"\"\"\n",
    "    assert ct.isdtime(controller, True), \"controller must be discrete-time\"\n",
    "    controller = ct.ss(controller) # convert to state-space if not already\n",
    "    # the following is used to ensure the number before '%' is a bit larger \n",
    "    one_plus_eps = 1 + np.finfo(float).eps \n",
    "    assert np.isclose(0, controller.dt*one_plus_eps % plant_dt), \\\n",
    "        \"plant_dt must be an integral multiple of the controller's dt\"\n",
    "    nsteps = int(round(controller.dt / plant_dt))\n",
    "    step = 0\n",
    "    def updatefunction(t, x, u, params): # update if it is time to sample \n",
    "        nonlocal step\n",
    "        if step == 0:\n",
    "            x = controller._rhs(t, x, u)\n",
    "        step += 1\n",
    "        if step == nsteps:\n",
    "            step = 0\n",
    "        return x\n",
    "    y = np.zeros((controller.noutputs, 1))\n",
    "    def outputfunction(t, x, u, params): # update if it is time to sample\n",
    "        nonlocal y\n",
    "        if step == 0: # last time updatefunction was called was a sample time\n",
    "            y = controller._out(t, x, u) \n",
    "        return y\n",
    "    return ct.ss(updatefunction, outputfunction, dt=plant_dt, \n",
    "                 name=controller.name, inputs=controller.input_labels, \n",
    "                 outputs=controller.output_labels, states=controller.state_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "80836738",
   "metadata": {},
   "outputs": [],
   "source": [
    "# create discrete-time controller with some dynamics\n",
    "controller_Ts = .1 # sampling interval of controller\n",
    "controller = ct.tf(1, [1, -.9], controller_Ts, inputs='e', outputs='u')\n",
    "\n",
    "# create model of controller with a much shorter sampling time for simulation\n",
    "controller_simulator = sampled_data_controller(controller, simulation_dt)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "30567aaa",
   "metadata": {},
   "source": [
    "If the model is simulated with a short time step, its staircase output behavior can be observed. Because the controller model is nonlinear, we must use `ct.input_output_response`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "39e9b769",
   "metadata": {},
   "outputs": [
    {
     "data": {
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eNXri5/MiPhBaAAAAAOiRkt0upSS4QmrrcEjn5GbonNwMORyhvb/DIZ2dkx417VMSXEp2h/Z5gVhBaAEAAACgR3I6HZpeNDCktteNy9er/3GhXv2PCzVrXF7nJ/zrnNfuuChq2s8oypHTGWLCAcQIQgsAAAAAPda8kqHq7D7e7XRobklhwDnuTk4685xoaw/0JIQWAAAAAHqsYdlpSkt0t/u62+lQWWlxwFahY3IzVFZa3G5QEHxOtLUHepL2v3q76eKLL9aKFSvCOuftt9/WxRdfbE5BAAAAAOLOy+urdbzJ0+p4SoJLM4pyNLeksM2b/Zlj8zQiO10Ly3dqaUWNGlq8HZ4Tbe2BnsJhGIYpe+KEG1o4nU7t2bNHeXmhzdcKhVn7xAIAAACIfoZhaPrPV2rzvuP+Y58v7KPf3TxRyW5XyOs/+HyGGj3ekM+JtvaAFcy6/zZtpMXvf/97nTx5ssM2Gzdu1Je+9CVJ0qWXXhrRwAIAAABAfFu17VBAYCFJt1w0VKkdTBdpi9PpCOucaGsPxDLT/qUXFna+CMyzzz7rf3zTTTeZVQoAAACAOLSgfEfA86H90jR1VLZN1QDoCtsW4vT5fPrTn/4kSerVq5euu+46u0oBAAAA0MN8uv+43tlyMODY10oKmU4BxBjbQovly5dr7969kqTrr79eqampdpUCAAAAoIf53aqdAc+zUhM0ezxr3AGxxrbQ4plnnvE/ZmoIAAAAgEg5dKJJ/7dub8CxGz83WCmJLpsqAtBVtoQWJ06c0IsvvihJGjx4MNucAgAAAIiYP76/R80en/95osupm84fbGNFALrKliVn/+///s+/s8iNN94oh6Nr88qqqqo6fL2mpqZL7wsAAAAgNjW2ePXs+7sCjl0zNlfZGcn2FASgW2wJLSI1NeT0HrAAAAAAIElL1u9V7YnmgGNzSzrf2RBAdLJ8ekhVVZXeeecdSdLnP/95jRw50uoSAAAAAPRAhmFowcrABThLhvfTWTkZNlUEoLssH2nxxz/+UT7fqfllc+bM6dZ7VVZWdvh6TU2NJk2a1K0+AAAAAMSGf3xaq08PnAg4NvdCRlkAsczy0OLZZ5+VJCUlJelLX/pSt94rP58tiwAAAACcsmDljoDnw7N7acqI/jZVAyASLJ0esnbtWm3cuFGSdNVVV6l3795Wdg8AAACgh9qy77hWflobcGxuSaGczq4t+g8gOlgaWpy5AGd3p4YAAAAAwGkLywNHWfRJS9SscXk2VQMgUiwLLVpaWvT8889Lkvr376/p06db1TUAAACAHuzg8Sa99GF1wLEbPz9YyQkumyoCECmWhRbLli3TwYMHJUlf/vKX5XbbstsqAAAAgDP4fIbqmz3y+YyYbf+7VTvV7PX5jyW6nPrK5weHdD6A6GZZcnDm1JCbbrrJqm4BAAAAtGFjdZ0WlO/Qsop9amjxKiXBpelFAzWvZKjG5LbeIjTa25/p2nG56p+e1I2/HQDRwmEYRmgRZjccOXJEOTk5ampq0jnnnKOKigqzu5QkVVVVqaCgQNKp7VHZbQQAAACQlqzfq/mLNsjTxmgGt9OhstJizRybF5PtJemeL4zWNy8e1s6nB2AGs+6/LZke8pe//EVNTU2SGGUBAAAA2GljdV2HN/wen6H5izZoQ+URNXm82lB5JKbaS9JP/75FG6vrOvmbABALLBlpMXnyZL377rtyuVzas2ePcnNzze5SEiMtAAAAgGB3LVqvxev22l2G6WaPz1dZabHdZQBxI6ZHWqxatUqGYcjj8VgWWAAAAAAI5PMZWlaxz+4yLLG0oibkxTwBRC/Ldg8BAAAAYK9Gj7fVopU9VUOLV42e+PisQE9GaAEAAADEiWS3SykJLrvLsERKgkvJ7vj4rEBPRmgBAAAAxAmn06HpRQNDanvF2QP0zv+7WFeMGRCT7WcU5cjpdITUFkD0IrQAAAAA4sh14/M6beN2OnTHpSM1pF+a7rhspNyd3PxHY/u5JYUdtgEQGwgtAAAAgDiyofJYh6+7nQ6VlRZrTG6GJGlMbobKSovbDQqivT2A2Oa2uwAAAAAA1vD5DD23ek/AMZfTIa/PUEqCSzOKcjS3pLDVDf/MsXkakZ2uheU7tbSiRg0t3phqDyB2OQzD6LH7AJm1TywAAAAQi1ZsPag5v1sdcOz/vnW+zsrJULLbFdIaED6foUaPN2bbAzCHWfffjLQAAAAA4sSf/7k74PlZORkaP6i3HI7Qb/adTodSE0O/jYi29gBiC2taAAAAAHHgQF2j3tx0IODYlycVhBVYAIDVCC0AAACAOLBobaW8vs9mhqckuDRzXOc7iQCAnQgtAAAAgB7O6zP03OrKgGPXFOcqIznBpooAIDSEFgAAAEAPt/LTg9p7tCHg2A2fG2RTNQAQOkILAAAAoIf78z8Dtzkdk5Oh4vxMm6oBgNARWgAAAAA92P66Ri3fHLQA5+cGsQAngJhAaAEAAAD0YIvWBC7AmZro0syxuTZWBAChI7QAAAAAeiivz9Dza1ovwJnOApwAYgShBQAAANBD/WNr6wU4v8wCnABiCKEFAAAA0EP9eXXgApzn5GXo3Pwse4oBgC4gtAAAAAB6oH3HGvVW0AKcN0xilAWA2EJoAQAAAPRAfwlagDMt0aWZY/NsrAgAwkdoAQAAAPQwXp+hv6wJnBpyzdg89Upy21QRAHQNoQUAAADQw6zYekDVxxoDjn2ZqSEAYhChBQAAANDD/PmfgaMsivIyVZSfaVM1ANB1hBYAAABAD1JzrKHVApxscwogVhFaAAAAAP/i8xmqb/bId8YClrHW/o/v79aZzdMSXbqmODek8wEg2rASDwAAAOLexuo6LSjfoWUV+9TQ4lVKgkvTiwZqXslQjcnNiLn2Z5o5Lk9pLMAJIEY5DMMILbaNQVVVVSooKJAkVVZWKj8/3+aKAAAAEG2WrN+r+Ys2yNPGaAa306Gy0uKArUJjqb0kffeKUbpt6vB2Pj0ARIZZ999MDwEAAEDc2lhd1+ENv8dnaP6iDdpYXReT7SXp8Te2+tsDQKxhnBgAAADi1oLyHR3e8EungoJvPLtW4wf31rrdR2Ky/cLynSorLe6wHQBEI0ILAAAAxCWfz9Cyin0hta080qDKIw0hv3e0tV9aUaPHrj9XTqcj5HMAIBowPQQAAABxqdHjbbVoZU/V0OJVoyc+PiuAnoXQAgAAAHEp2e1SSoLL7jIskZLgUrI7Pj4rgJ6F0AIAAABxyel0aHrRwJDajh6YrtumDtOogb1isv2MohymhgCISYQWAAAAiFvzSoaqs1t5t9Ohn5WO1XevGK3HS8fJ3cnNfzS2n1tS2GEbAIhWhBYAAACIWwMykuTo4J7f7XSorLRYY3IzJEljcjNUVlrcblAQ7e0BINawewgAAADi1qsf1aitHUNTElyaUZSjuSWFrW74Z47N04jsdC0s36mlFTVqaPHGVHsAiCUOwzA63tg5hlVVVamgoECSVFlZqfz8fJsrAgAAQDS59lertL7yqP/51efm6NHrz1Wy2xXSGhA+n6FGjzdm2wNApJh1/81ICwAAAMSlHQdPBAQWknTdeflKTQz9R2Sn0xHT7QEg2rGmBQAAAOLSS+urA573TUvUhcP72VQNAKAthBYAAACIO4Zh6KUP9wYcu7o4V24XPx4DQDThuzIAAADizro9R7TncH3AsevG59lUDQCgPYQWAAAAiDuL1wWOshjaP01FeZk2VQMAaA+hBQAAAOJKs8enVz+qCTh23bg8ORzstgEA0YbQAgAAAHHlnS0HdKyhJeDYzLFMDQGAaERoAQAAgLjyYtACnJOG9FFBn1SbqgEAdITQAgAAAHHjWEOLlm86EHDs2nGMsgCAaEVoAQAAgLixtKJGzV6f/3miy6kri3JsrAgA0BFCCwAAAMSN4Kkhl4zOVmZqgk3VAAA6Q2gBAACAuFB1pF6rdx4OOMbUEACIboQWAAAAiAtL1lcHPM9MSdDU0f1tqgYAEApCCwAAAPR4hmFo8bqqgGNXnpujJLfLpooAAKEgtAAAAECP9/HeOm0/eDLg2HVMDQGAqEdoAQAAgB4veAHO/N4pOm9wb5uqAQCEitACAAAAPZrH69PLGwLXs5g1Lk8Oh8OmigAAoSK0AAAAQI9Wvq1WtSeaAo6xawgAxAZCCwAAAPRoLwVNDSnOz9Sw/r1sqgYAEA5CCwAAAPRYJ5s8+tsn+wOOzWKUBQDEDEILAAAA9Fh/+2SfGlq8/ucup0NXFefaWBEAIByEFgAAAGiTz2eovtkjn8+I2fZ//aAq4NiUkf3Vr1dSSOcDAOzntrsAAAAARJeN1XVaUL5DyypOjVJISXBpetFAzSsZqjG5GTHTfmlFjRpbfAGvsQAnAMQWh2EYoUXVMaiqqkoFBQWSpMrKSuXn59tcEQAAQHRbsn6v5i/aIE8boxncTofKSos1c2xeTLaXpJ9ef66un1DQzqcHAHSVWfffTA8BAACApFMjFDq64ff4DM1ftEEbq+tisr0k3bO4wt8eABD9GGkBAAAASdJdi9Zr8bq9nbZLSXAqKzVRR+ub1RA0/SIW2s8en6+y0uJO2wEAQsdICwAAAJjG5zO0rGJfSG0bWnyqOdYYUkAQje2XVtSEvJgnAMBehBYAAABQo8cbsDVoT9bQ4lWjJz4+KwDEOktDiz179uiHP/yhJkyYoP79+ys5OVkFBQW68MILdd999+njjz+2shwAAAD8S7LbpZQEl91lWCIlwaVkd3x8VgCIdZaFFk888YTGjBmjBx54QB988IFqa2vV1NSkqqoqlZeX68EHH9SCBQusKgcAAABncDodml40MKS2JcP76Q9fm6TJw/vGZPsZRTlyOh0htQUA2MttRSc//vGP9YMf/ECSNHLkSN1yyy2aOHGiMjMzdejQIX344Yd68cUX5XQyWwUAAMAu80qG6sUP96qjZdrdToe+P+MsjcnNUP9eSbrml+Ud7tYRje3nlhS2/wEBAFHF9N1Dli9frssuu0ySdNNNN2nBggVKSEhos21zc7MSExMj1je7hwAAAITO5zM09oG/q67R0+brbqdDZaXFmjk2z39syfq97W4zGgvtAQCRYdb9t6kjLXw+n771rW9JkoqLi7Vw4UK53e13GcnAAgAAAOFZt+dIm4FFSoJLM4pyNLekUGNyMwJemzk2TyOy07WwfKeWVtSoocUbU+0BANHN1JEWr7/+uqZPny5J+vOf/6wbbrjBrK7axEgLAACA0D346kYtLN/pfz68f5pevr1EyW5XSGtA+HyGGj3emG0PAOi6mBxp8cILL0iSHA6HrrrqKv/xw4cP69ChQ+rbt6/69OljZgkAAAAIgWEYev3jfQHHZhTlKDUx9B8XnU5HTLcHAEQfU1e+fP/99yVJQ4YMUXp6uv785z+rqKhIffv21ciRI9W3b1+NGjVKP/3pT9XU1GRmKQAAAOhAxd5j2nu0IeDY9KIcm6oBAOAU06Jnn8+nzZs3S5L69eunO+64Q7/4xS9atdu6dau++93v6sUXX9Rrr72mrKyskPuoqqrq8PWampqwagYAAIhXy4JGWQzpm6rRA9NtqgYAgFNMCy2OHTsmn88nSaqoqNCaNWuUk5Ojxx57TDNmzFBycrLWrFmju+++W++//77effddfe1rX9PixYtD7uP0fBkAAAB0nWEYWlYR+MueL5yTI4eDdSAAAPYybXrIyZMn/Y8bGxuVmpqqt99+W//+7/+u3r17KyUlRRdddJHeeustFRcXS5JefPFF/fOf/zSrJAAAALRh877j2nWoPuDY9HMG2lQNAACfMW2kRXJycsDzefPmadSoUa3apaSk6KGHHvIv1PmXv/xFn/vc50Lqo7KyssPXa2pqNGnSpBArBgAAiE/BU0PyslJ0bn6mTdUAAPAZ00KL9PTAOZDTpk1rt+2ll14qt9stj8ejNWvWhNwHW5gCAAB03+sfB04NueLsgUwNAQBEBdOmhyQlJal///7+5x2tP5GcnKx+/fpJkg4ePGhWSQAAAAiy/eAJbd1/IuDYjCKmhgAAooOpW56effbZ/sder7fDtqdfd7vZSxsAAMAqrwdNDclOT9L4Qb1tqgYAgECmhhYXXXSR//GOHTvabVdXV6fa2lpJUl5enpklAQAA4AxLK1pPDXE6mRoCAIgOpoYWs2fP9j9+8cUX22334osvyjAMSdKFF15oZkkAAAD4lz2H6vVJdV3AMXYNAQBEE1NDi3PPPVfTp0+XJD333HNavnx5qzb79u3Tf/3Xf0mSEhMTdfPNN5tZEgAAAP7l9U8CR1n0Tk3QpMI+NlUDAEBrpoYWkvQ///M/ysrKks/n01VXXaV7771XK1eu1Nq1a/W///u/mjhxoqqqqiRJDz74INNDAAAALBK81ekVZw+U22X6j4cAAITM9FUvR44cqVdeeUXXX3+99u/fr0ceeUSPPPJIQBuHw6H//M//1Pe+9z2zywEAAICkmmMN+nDP0YBjX2BqCAAgyliyVUdJSYk++eQTPfHEE3rppZe0c+dONTc3KycnRxdffLFuv/12jRs3zopSAAAAIOlvQaMs0pPdumBYP5uqAQCgbZbtL9q3b1/df//9uv/++63qEgAAAO1YGhRaXH7WACW6mRoCAIgu/M8EAAAQZw4eb9KaXYcDjjE1BAAQjQgtAAAA4szfN+7Tv3ablySlJrp00cj+9hUEAEA7CC0AAADizOtBU0MuGZ2t5ASXTdUAANA+QgsAAIA4crS+We9tPxRwbPo5OTZVAwBAxwgtAAAA4sgbG/fL4/tsbkiS26mLRzE1BAAQnQgtAAAA4siyoKkhU0b2V1qSZRvKAQAQFkILAACAOHG8sUXln9YGHJtexK4hAIDoRWgBAAAQJ97afEDNXp//eYLLoUtGD7CxIgAAOkZoAQAAECeWVQRODSkZ3k+ZKQk2VQMAQOcILQAAAELg8xmqb/bId8YilrHUvr7Zo7e37A84xq4hAIBox6pLAAAAHdhYXacF5Tu0rGKfGlq8SklwaXrRQM0rGaoxuRlR3/70OT965RM1eT4LOBySBvVJ7fpfDAAAFnAYhhFaPB+DqqqqVFBQIEmqrKxUfn6+zRUBAIBYsmT9Xs1ftCFgi9DT3E6HykqLNXNsXtS27+o5AACEy6z7b0ZaAAAAtGFjdV27N/uS5PEZ+s5f1mtn7UnlZqWo+miDfrH8U7U3W8Pq9pJCOmf+og0akZ3e7igNAADsxEgLAACANty1aL0Wr9trdxmWmD0+X2WlxXaXAQCIYWbdf7MQJwAAQBCfz2i100ZPtrSiJuQFPQEAsBKhBQAAQJBGj1cNLV67y7BMQ4tXjZ74+bwAgNhBaAEAABAk2e1SSoIrpLZOh1SUlyGnI7T3tqL9ufmZOjc/M+RzUhJcSnaH9nkBALASoQUAAEAQp9Oh6UUDQ2o7a1y+Xrn9Ql07LrQdOKxo//K3S/Tyt0tCPmdGUY6coSYcAABYiNACAACgDfNKhnY6UsHtdGhuSaG/vbuTE6xs39VzAACIJoQWAAAAbRiTm6EB6cntvu52OlRWWuzfKnRMbobKSovbDQmsbt/VcwAAiCZuuwsAAACIRnuPNqimrrHV8ZQEl2YU5WhuSWGrm/2ZY/M0IjtdC8t3amlFjRpavLa27+o5AABEC4dhGD12fyuz9okFAAA93x/f363/eulj//PMFLfK775EaYnukNZ/8PkMNXq8Sna7oqJ9V88BACAUZt1/M9ICAACgDW9vPhDw/OJR2UpPTgj5fKfTodTE0H/UMrt9V88BAMBOrGkBAAAQpLHFq1XbawOOXTI626ZqAACIX4QWAAAAQd7bcUiNLT7/c6dDumhEfxsrAgAgPhFaAAAABAmeGjJuUG/1Tku0qRoAAOIXoQUAAMAZDMPQW0GhBVNDAACwB6EFAADAGbYfPKGqIw0Bx6aOIrQAAMAOhBYAAABnCB5lkZOZrLNy0m2qBgCA+EZoAQAAcIbg0OLiUdlyOBw2VQMAQHwjtAAAAPiXusYWrd11JOAY61kAAGAfQgsAAIB/Wbm1Vh6f4X+e6HZq8vC+NlYEAEB8I7QAAAD4l+CpIZ8f2lepiW6bqgEAAIQWAAAAknw+Qyu2BoYWU0f1t6kaAAAgEVoAAABIkir2HlPtieaAY6xnAQCAvQgtAAAA1HpqyND+aRrcN82magAAgERoAQAAIEl6e0tgaHHJKEZZAABgN0ILAAAQ9w4cb9RHVccCjjE1BAAA+xFaAACAuPfOloMBz3sluTVhSB+bqgEAAKcRWgAAgLj3dtB6FheO6KdENz8mAQBgN/43BgAAca3F69PKT2sDjk1lPQsAAKICoQUAAIhra3Yd1okmT8Cxi0f3t6kaAABwJkILAAAQ14KnhhTlZSo7PdmmagAAwJkILQAAQFx7Kyi0mMquIQAARA1CCwAAELf2HKrX9oMnA46x1SkAANGD0AIAAMSttzbvD3jer1eizs3LtKkaAAAQjNACAADErbe3HAx4PmVktpxOh03VAACAYIQWAAAgLtU3e/TejkMBx6ayawgAAFGF0AIAAMSld7cdUrPH53/ucjp04QhCCwAAogmhBQAAiEtvbQncNWTC4N7KTEmwqRoAANAWQgsAABA2n89QfbNHPp8Rk+0Nw9BbmwIX4WTXEAAAoo/b7gIAAEDs2FhdpwXlO7SsYp8aWrxKSXBpetFAzSsZqjG5GVHf/vQ5ZW9s0b66poDjg/umdvFvBQAAmMVhGEZov5KIQVVVVSooKJAkVVZWKj8/3+aKAACIXUvW79X8RRvkaWM0g9vpUFlpsWaOzYva9l09BwAAdM6s+2+mhwAAgE5trK5r92Zfkjw+Q/MXbdDG6rqobN/VcwAAgL2YHgIAADq1oHxHuzf7p3l8hr729BqNyc3Qxuq6qGovKeRzFpbvVFlpcYftAACANQgtAABAh3w+Q8sq9oXUdl9do/bVNYb83tHWXpKWVtTosevPldPpCOs8AAAQeUwPAQAAHWr0eNXQ4rW7DMs0tHjV6ImfzwsAQDQjtAAAAB1KdruUkuCyuwzLpCS4lOyOn88LAEA0I7QAAAAdcjodml40MKS25+Rl6J7po3VOXtvbjdrVPpxzZhTlMDUEAIAowZoWAACgU/NKhmrJ+mp5O1jI0u106CezizUmN0MXjeiva35Z3uHCl1a2lxTyOXNLCtt9HQAAWIuRFgAAoFNjcjM0a2xeu6+7nQ6VlX4WEIzJzVBZabHc7YxYsLp9V88BAAD2YqQFAAAIybHGllbHUhJcmlGUo7klha1u9meOzdOI7HQtLN+ppRU1amjx2tq+q+cAAAD7OAzD6HjD8hhWVVWlgoICSVJlZaXy8/NtrggAgNjk8fo07sE3dLzR4z/28HXn6EsTBoW0/oPPZ6jR41Wy2xUV7bt6DgAAaJtZ99+MtAAAAJ36uLouILCQpEtGDwj5Zt/pdCg1MfQfO8xu39VzAACAtVjTAgAAdGrVttqA58Oze2lARrJN1QAAgHhhamjhcDhC+nPxxRebWQYAAOim4NBi8rC+NlUCAADiCSMtAABAhxpbvFq7+0jAscnD+9lUDQAAiCeWTOT81re+pVtvvbXd19PS0qwoAwAAdMHaXUfU7PH5nzsd0ueGMtICAACYz5LQIjs7W+ecc44VXQEAgAhbtT1wakhRfpYyUxJsqgYAAMQTpocAAIAOBa9nUTKcURYAAMAahBYAAKBdx+pbVLH3WMCxycNYzwIAAFiD0AIAALTrvR2HZBifPU9yOzV+cG/7CgIAAHHFktDihRde0JgxY5Samqr09HSNGDFCc+bM0dtvv21F9wAAoIuCp4ZMHNJHyQkum6oBAADxxpKFODdu3BjwfNu2bdq2bZueeeYZXXvttXr66aeVmZkZ9vtWVVV1+HpNTU3Y7wkAAD4TvAjnBaxnAQAALGRqaJGamqprrrlGl156qUaPHq1evXrp4MGDWrFihZ566ikdOnRIL730kmbOnKk33nhDCQnhrUReUFBgUuUAAKDmWIN2HDwZcKxkOOtZAAAA65gaWuzdu1dZWVmtjl9++eW6/fbbNX36dH344YdasWKFnnzySf3Hf/yHmeUAAIAwrNp2KOB5RrJbZ+eGPzISAACgq0wNLdoKLE4bMGCA/vrXv2r06NFqaWnRE088EXZoUVlZ2eHrNTU1mjRpUljvCQAATnk3aD2L84f1lcvpsKkaAAAQjyxZ06I9Q4cO1eWXX66lS5dq27Ztqq6uVm5ubsjn5+fnm1gdAADxyzCMVutZMDUEAABYzfYtT8eMGeN/vHfvXhsrAQAAp20/eEL765oCjl1AaAEAACxme2jhcDDMFACAaBO8nkVOZrKG9kuzqRoAABCvbA8tztwONZypIQAAwDzlQetZXDCsH79oAAAAlrM1tNi5c6feeOMNSdKwYcOUl5dnZzkAAECSx+vT+zsCR1pMHt7XpmoAAEA8My20eOWVV+TxeNp9ff/+/Zo9e7aam5slSbfeeqtZpQAAgDB8XF2n442B/4dPZj0LAABgA9N2D7n99tvV0tKi2bNn6/zzz9eQIUOUkpKi2tpavfPOO/r1r3+t2tpTQ09LSkp02223mVUKAAAIw6qgqSHDs3tpQEayTdUAAIB4ZuqWp9XV1XriiSf0xBNPtNtm9uzZWrBggZKSkswsBQAAhCg4tJg8jKkhAADAHqaFFn/4wx+0YsUKvffee9qxY4dqa2tVV1enXr16qaCgQBdccIHmzJmj888/36wSAABAmBpbvFq7+0jAMaaGAAAAu5gWWkyZMkVTpkwx6+0BAIAJ1u46omaPz//c6ZA+N5SRFgAAwB62b3kKAACix6rtgVNDivKzlJmSYFM1AAAg3hFaAAAAv+D1LErY6hQAANiI0AIAAEiSjtW3qGLvsYBjk4exngUAALAPoQUAAJAkvbfjkAzjs+dJbqfGD+5tX0EAACDuEVoAAABJraeGTBzSR8kJLpuqAQAAILQAAAD/ErwI5wWsZwEAAGxGaAEAAFRzrEE7Dp4MOFYynPUsAACAvQgtAACAVm07FPA8I9mts3MzbaoGAADgFEILAACgd4PWszh/WF+5nA6bqgEAADiF0AIAgDhnGEar9SyYGgIAAKIBoQUAAN3k8xmqb/bI5zM6bxyF7bcfPKH9dU0Bxy4gtAAAAFHAbXcBAADEqo3VdVpQvkPLKvapocWrlASXphcN1LySoRqTmxH17U+fc+/ijwKOpSQ41dji7eLfCgAAQOQ4DMMI7dcwMaiqqkoFBQWSpMrKSuXn59tcEQCgp1iyfq/mL9ogTxujGdxOh8pKizVzbF7Utu/qOQAAAG0x6/6bkRYAAIRpY3Vduzf7kuTxGfrOX9Zr24ETyslMUc2xBv3q7W1qb7aG1e0lhXTO/EUbNCI7vd1RGgAAAGZjpAUAAGG6a9F6LV631+4yLDF7fL7KSovtLgMAAEQ5s+6/WYgTAIAw+HyGllXss7sMyyytqAl5QU8AAIBII7QAACAMjR6vGuJokcqGFq8aPfHzeQEAQHQhtAAAIAzJbpdSElwhtXU6pHEFmXI6QntvK9qPH5Sl8YOyQj4nJcGlZHdonxcAACDSCC0AAAiD0+nQ9KKBIbWdNS5fL95WomvHhbYDhxXtF986WYtvnRzyOTOKcuQMNeEAAACIMEILAADCNK9kqFyd3Mi7nQ7NLSn0t3dHUfuungMAAGA1QgsAAMI0JjdD149vf0Vst9OhstJi/1ahY3IzVFZa3G5IYHX7rp4DAABgNbfdBQAAEIuavb5Wx1ISXJpRlKO5JYWtbvZnjs3TiOx0LSzfqaUVNWpo8dravqvnAAAAWMlhGEaP3cfMrH1iAQAoefQtVR1p8D//wZVn6ebJhSGt/+DzGWr0eJXsdkVF+66eAwAAcJpZ99+MtAAAIEw1xxoCAgtJmjyiX8g3+06nQ6mJof8XbHb7rp4DAABgNta0AAAgTGt2HQl4npHs1sjsdJuqAQAA6LkILQAACNOanYcDnk8Y0ocpFQAAACYgtAAAIExrdgWGFhOH9LGpEgAAgJ6N0AIAgDAcq2/Rlv3HA45NHNLbpmoAAAB6NkILAADC8MGewzpz361Et1NF+Zn2FQQAANCDEVoAABCG1TsDF+EcW5ClJLfLpmoAAAB6NkILAADCsLbVehZMDQEAADALoQUAACFqbPHqo6pjAcdYhBMAAMA8hBYAAIToo6pjavb6/M+dDum8wYy0AAAAMAuhBQAAIQre6nT0wAylJyfYVA0AAEDPR2gBAECIVu8MDC0mFTI1BAAAwEyEFgAAhMDrM7Rud+DOIRNYhBMAAMBUhBYAAIRg8746HW/yBBybxCKcAAAApiK0AAAgBGuCpoYM7puq7Ixkm6oBAACID4QWAACEYE3w1JDBjLIAAAAwG6EFAACdMAyj1UiLSYWsZwEAAGA2QgsAADpRebhBB443BRybyHoWAAAApiO0AACgE6t3BY6y6NcrUYX90myqBgAAIH4QWgAA0IngqSETBveRw+GwqRoAAID4QWgBAEAn1uwODC0mFjI1BAAAwAqEFgAAdKD2RJN2HDwZcGziEBbhBAAAsAKhBQAAHVgbtJ5FWqJLY3IybKoGAAAgvhBaAADQgTW7jgQ8Hz+4t9wu/vsEAACwAj91AQDQgTW7Wi/CCQAAAGsQWgAA0I6TTR59Ul0XcGxiIetZAAAAWIXQAgCAdny456i8PsP/3O10aFwBoQUAAIBVCC0AAGjH6qCpIefkZSol0WVTNQAAAPGH0AIAgHYE7xwyqZD1LAAAAKxEaAEAQBtavD59uOdowLEJg5kaAgAAYCVCCwAA2vDx3mNqaPEGHJs4hJEWAAAAViK0AACgDWt3HQl4PiK7l3qnJdpUDQAAQHwitAAAoA3Bi3BOYJQFAACA5QgtAAAIYhhGG4twsp4FAACA1QgtAAAIsv3gCR2pbwk4xnoWAAAA1iO0AAAgyOqdgetZ5GQmKy8rxaZqAAAA4hehBQAAQYKnhkwc0kcOh8OmagAAAOIXoQUAAEGCF+GcWMjUEAAAADsQWgAAIsrnM1Tf7JHPZ0RF+3DPqTnWoKojDQHHJg5hEU4AAAA7uO0uAADQM2ysrtOC8h1aVrFPDS1epSS4NL1ooOaVDNWY3AzL23e1j/tf/iTgWILTIa839IAEAAAAkeMwDKPH/iRWVVWlgoICSVJlZaXy8/NtrggAeqYl6/dq/qIN8rQxksHtdKistFgzx+ZZ1t6qPgAAAHCKWfffTA8BAHTLxuq6dm/2JcnjMzR/0QZtrK6zpL1VfQAAAMB8jLQAAHTLXYvWa/G6vZ22czsdSnI71eTxtRsORKK9JNP6mD0+X2WlxZ22AwAAiDc9bqTF3XffLYfD4f/zzjvv2FUKAKCLfD5Dyyr2hdTW4zN0stkbUjjQnfZm9rG0oiasBUABAADQPbaEFuvXr9fPfvYzO7oGAERQo8erhhav3WVYpqHFq0ZP/HxeAAAAu1keWvh8Pn3961+Xx+NRdna21d0DACIo2e1SSoLL7jIsk5LgUrI7fj4vAACA3SwPLX7xi19ozZo1Gj16tObOnWt19wCACHI6HZpeNDCktlNH9dfiWy/QxaP6m9rezD5mFOXI6XSE1BYAAADdZ2losWfPHv3gBz+QJD311FNKTEy0snsAgAnmlQyVu5MbebfToe9eMVrjB/XW964YbWp7M/uYW1LYYRsAAABElqWhxW233aYTJ05ozpw5mjJlipVdAwBMMiY3Qz+46qx2X3c7HSorLdaY3Ax/+7LS4nZDgu62t6oPAAAAmM9tVUeLFi3Sq6++qj59+uinP/2pVd0CACwwICO51bGUBJdmFOVobklhq5v9mWPzNCI7XQvLd2ppRY0aWrwRbW9VHwAAADCXwzAM0/duO3r0qM466yzt27dPv/3tbzVv3jxJ0v33368f/ehHkqS3335bF198cVjvW1VV1eHrNTU1mjRpkqTI7hMLAAj08LJN+vWKHf7nFwzrqz/O/VxI6z/4fIYaPV4lu12mtLeqDwAAgHhWVVWlgoICSZG9/7ZkpMX3vvc97du3T5MnT47o4pun/0IAAPbaUHk04Pn4Qb1Dvtl3Oh1KTQz9v6Nw21vVBwAAACLP9DUtVq5cqQULFsjtduupp56Sw8FvrACgJ/H6DFVUHQs4NrYgy55iAAAA0KOY+muk5uZmff3rX5dhGPrOd76jc845J6LvX1lZ2eHrZ04PAQCYY9uBEzrZ7A04VkxoAQAAgAgwNbT47//+b23evFmDBg3SD3/4w4i/P2tUAID91lceCXiel5Wi/ulJNlUDAACAnsS06SGbN2/Www8/LEl64oknlJaWZlZXAAAbrQ9az2LsoCxb6gAAAEDPY9pIi8cff1zNzc0aOnSo6uvr9fzzz7dq8/HHH/sfv/XWW9q3b58k6eqrrybkAIAYsb4yaD2L/Cx7CgEAAECPY1po0dTUJEnasWOHbrjhhk7bP/jgg/7HO3fuJLQAgBhQ3+zRln11AccYaQEAAIBIMX33EABAz/Xx3jr5jM+eu5wOnZObaV9BAAAA6FFMCy2efvppGYbR4Z8zF+d8++23/ceHDBliVlkAgAgKXoRz1IB0pSS6bKoGAAAAPQ0jLQAAXbYheD0LpoYAAAAggggtAABd1mrnEBbhBAAAQAQRWgAAuuTA8UbtPdoQcIyRFgAAAIgkQgsAQJcETw1JS3RpWP9eNlUDAACAnsjW0OL+++/3L7558cUX21kKACBMwYtwnpufJZfTYVM1AAAA6IkYaQEA6JLgkRbFBVn2FAIAAIAei9ACABA2n8/QhuBFOAktAAAAEGGEFgCAsO2oPaHjTZ6AY+NYhBMAAAARRmgBAAjb+qCpIQMzkjUgI9mmagAAANBTEVoAAMIWvAgnU0MAAABgBkILAEDYWIQTAAAAViC0AACEpbHFq001dQHHGGkBAAAAMxBaAADC8kl1nTw+w//c6ZDOzc+0sSIAAAD0VIQWAICwrA/a6nREdrrSktz2FAMAAIAejdACABCW4NCCqSEAAAAwC6EFACAsG4JCCxbhBAAAgFkILQAAITt0okl7DtcHHGOkBQAAAMxCaAEACNlHVYFbnaYkuDRyQC+bqgEAAEBPR2gBAAjZh0FTQ4ryMuV28V8JAAAAzMFPmgCAkAWvZzF2UJYtdQAAACA+EFoAAEJiGIY2VB0NOFacn2VLLQAAAIgPhBYAgJDsOlSvo/UtAccYaQEAAAAzEVoAAEISPDWkX68k5WYm21MMAAAA4gKhBQAgJOuD17MoyJLD4bCnGAAAAMQFQgsAQEhahxaZ9hQCAACAuEFoAQDoVJPHq43VdQHHxhb0tqkaAAAAxAtCCwBApzbXHFez1xdw7FxGWgAAAMBkhBYAgE4FTw0Z1j9NGckJ9hQDAACAuEFoAQDoVOv1LJgaAgAAAPMRWgAAOhW83SmLcAIAAMAKhBYAgA4dq2/RjtqTAccYaQEAAAArEFoAADq0oepowPNEt1OjBqbbUwwAAADiCqEFAKBDwetZnJOboUQ3/30AAADAfPzUCQDoUOv1LJgaAgAAAGsQWgAA2mUYRquRFsUswgkAAACLEFoAgIl8PkP1zR75fEZUtA/3nKojDTp0sjng2DhGWgAAAMAibrsLAICeaGN1nRaU79Cyin1qaPEqJcGl6UUDNa9kqMbkZljevqt93P/yJwHHEt1OHW9q6eLfCgAAABAeh2EYof96LsZUVVWpoKBAklRZWan8/HybKwIQD5as36v5izbI08ZIBrfTobLSYs0cm2dZe6v6AAAAQPwy6/6b6SEAEEEbq+vavdmXJI/P0PxFG7Sxus6S9lb1AQAAAJiB6SEAEEELyne0e7N/msdn6MaF72tw3zTtPnTS1PaSTOtjYflOlZUWd9gOAAAA6A5CCwCIEJ/P0LKKfSG1PXyyRYdPHg35vc1u35VzllbU6LHrz5XT6QirHwAAACBUTA8BgAhp9HjV0OK1uwzLNLR41eiJn88LAAAA6xFaAECEJLtdSklw2V2GZVISXEp2x8/nBQAAgPUILQAgQpxOh6YXDQyp7XmDs/To7CKNH5Rlansz+5hRlMPUEAAAAJiKNS0AIILmlQzVy+urO1zI0u106MGZRRqTm6GivCxd88ty09pLMq2PuSWF7b4OAAAARAIjLQAggsbkZqjsi+3vqOF2OlRWWuwPFMbkZqistFjudkYsdLe9VX0AAAAAZmCkBQBE2OeH9W11LNnt1JXn5mpuSWGrm/2ZY/M0IjtdC8t3amlFjRpavEpJcGlGUU5E2lvVBwAAABBpDsMw2h//G+OqqqpUUFAgSaqsrFR+fr7NFQGIB8s37dfcP6z1P09LdGnDfdPkdnc+uM3nM9To8SrZ7QppvYhw21vVBwAAAOKLWfffjLQAgAj7pLou4PmY3IyQAgvp1GKeqYmhf2sOt71VfQAAAACRwJoWABBhn1QfC3h+dm6mTZUAAAAAsY3QAgAirK2RFgAAAADCR2gBABF0rL5FVUcaAo6dw0gLAAAAoEsILQAggj6pCZwakuhyasSAXjZVAwAAAMQ2QgsAiKCNQVNDRg7spQQX32oBAACAruAnaQCIoOD1LM7OYWoIAAAA0FWEFgAQQa12DsljEU4AAACgqwgtACBCGpq92nbgRMCxs9k5BAAAAOgyQgsAiJDN++rkMz577nBIowcSWgAAAABdRWgBABESvJ5FYb80pSW5baoGAAAAiH2EFgAQIa0W4cxlEU4AAACgOwgtACBCNgYtwnkO61kAAAAA3UJoAQAR4PH6tHnf8YBjjLQAAAAAuofQAgAiYPvBk2ry+AKOsXMIAAAA0D2EFgAQAZ8ETQ3JzUxW77REm6oBAAAAegZCCwCIgOBFOMcwNQQAAADoNkILAIiA4JEWTA0BAAAAuo/QAgC6yTCMNrY7JbQAAAAAuovQAgC6qfJwg443egKOnZ3H9BAAAACguwgtAKCbgqeG9E5NUG5msk3VAAAAAD0HoQUAdFPrqSGZcjgcNlUDAAAA9Bxus964rq5OS5cu1Zo1a7R27Vrt3btXBw8eVENDg7KysjRmzBjNmDFDc+fOVd++fc0qAwBMxyKcAAAAgDlMCy1Wr16tG264oc3XDh48qBUrVmjFihV67LHH9Mc//lFXXHGFWaUAgKlab3dKaAEAAABEgmmhhSQVFBRo6tSpOu+881RQUKCcnBz5fD5VVVXpr3/9qxYvXqza2lpdc801Wr16tYqLi80sBwAi7uDxJh043hRw7OxcFuEEAAAAIsG00GLq1Knas2dPu6+XlpbqpZde0qxZs9Tc3Kwf/ehHWrx4sVnlAIApgqeGpCS4VNgvzaZqAAAAgJ7FtIU4XS5Xp22uvfZajRo1SpK0cuVKs0oBANMETw05KyddLieLcAIAAACRYPvuIenp6ZKkxsZGmysBgPBtbGPnEAAAAACRYWtosWXLFq1fv16SNHr0aDtLAYAuYecQAAAAwDyWhxb19fX69NNP9bOf/UxTpkyRx+ORJN15551WlwIA3VLX2KJdh+oDjp2Tx0gLAAAAIFJM3T3ktKefflo333xzu6/fc889+vKXvxz2+1ZVVXX4ek1NTdjvCQCh2hQ0NcTtdGjEgF42VQMAAAD0PJaEFu0ZO3asfvOb32jixIldOr+goCDCFQFA6IIX4RwxIF1J7s4XIQYAAAAQGkumh1x77bWqqKhQRUWFVq9ereeee06zZs3S+vXrdcMNN+jVV1+1ogwAiKjg0IL1LAAAAIDIsmSkRVZWlrKysvzPJ06cqH/7t3/Ts88+qzlz5mjmzJlauHChvvrVr4b1vpWVlR2+XlNTo0mTJnWhYgDoHItwAgAAAOaydXrIV77yFb366qtatGiRvv3tb+uaa65Rnz59Qj4/Pz/fxOoAoH1NHq+2HTgRcIztTgEAAIDIsnXLU0maOXOmJOnkyZN6/fXXba4GAEKzdd8JeXxGwLGzctJtqgYAAADomWwPLfr37+9/vHv3bhsrAYDQBU8NGdI3VenJCTZVAwAAAPRMtocWe/fu9T/u1YutAgHEhlaLcOYxNQQAAACINNtDixdeeMH/uKioyMZKACB0LMIJAAAAmM+00OLpp59WY2Njh20ef/xxLV26VJJUWFioCy+80KxyACBivD5Dm2qOBxxjEU4AAAAg8kzbPeT+++/X/PnzNXv2bJWUlGjYsGHq1auXjh8/roqKCv3pT3/SqlWrJEmJiYn6zW9+I5fLZVY5ABAxO2tPqKHFG3CMkRYAAABA5Jm65enhw4f129/+Vr/97W/bbZOfn6/f/e53uuyyy8wsBQAiJng9iwEZSerXK8mmagAAAICey7TQ4m9/+5tee+01rVq1Stu2bdP+/ft16NAhpaSkKDs7W2PHjtVVV12l0tJSpaammlUGAERcq0U4mRoCAAAAmMK00GLUqFEaNWqU7rrrLrO6AABbsAgnAAAAYA3bdw8BgFhiGEYbIy0ILQAAAAAzEFoAQBiqjzXqaH1LwDGmhwAAAADmILQAgDB8sjdwakhGslv5vVNsqgYAAADo2QgtACAMbS3C6XA4bKoGAAAA6NkILQAgDKxnAQAAAFiH0AIAwtBq55A8QgsAAADALIQWABCiwyebVXOsMeAYi3ACAAAA5iG0AGAZn89QfbNHPp8RFe3DPSd4lEWS26mh/dJC7gsAAABAeNx2FwCg59tYXacF5Tu0rGKfGlq8SklwaXrRQM0rGaoxbawJYXb7rvbx6OubA46lJrq0df+JdvsAAAAA0D0OwzBC/5VkjKmqqlJBQYEkqbKyUvn5+TZXBMSfJev3av6iDfK0MZLB7XSorLRYM8fmWdbeqj4AAACAeGLW/TcjLQCYZmN1Xbs3+5Lk8Rm66y8bVN/k0eC+adp96KT+66VP5G0nS+1ue0mm9DF/0QaNyE5nxAUAAAAQYYy0AGCauxat1+J1e+0uwxKzx+errLTY7jIAAAAAW5h1/81CnABM4fMZWlaxz+4yLLO0oiasBUABAAAAdI7QAoApGj1eNbR47S7DMg0tXjV64ufzAgAAAFYgtABgimS3SykJrpDb90lNCOv9w23fNy1RfdMSTesjJcGlZHfonxcAAABA5wgtAJjC6XRoetHAkNrOHp+vdfdN03XjQ9uBoyvtP/jB5frgB5eb1seMohw5nY6Q2gIAAAAIDaEFANPMKxkqdyc38m6nQ3NLCi1pb1UfAAAAACKD0AKAacbkZnS4o4bb6VBZabF/q9DT7dsLCbrb3qo+AAAAAESG2+4CAPRsXzhnoJwO6cyNNZLcTl11bq7mlhS2utmfOTZPI7LTtbB8p5ZW1KihxauUBJdmFOVEpL1VfQAAAADoPodhGD12jz6z9okFELpNNXWa/vOVAcc++uE0ZaR0vsilz2eo0eNVstsV0noR4ba3qg8AAACgpzPr/puRFgBMtWXf8YDn+b1TQgospFOLeaYmhv5tKtz2VvUBAAAAoGtY0wKAqbbsDwwtRg1It6kSAAAAALGG0AKAqbYGjbQYOZDQAgAAAEBoCC0AmIqRFgAAAAC6itACgGlONHlUdaQh4NhIQgsAAAAAISK0AGCarUGjLFxOh4Zlp9lUDQAAAIBYQ2gBwDTB61kU9ktTkttlUzUAAAAAYg2hBQDTsJ4FAAAAgO4gtABgmuDpIaxnAQAAACAchBYATLMlaHrIqIG9bKoEAAAAQCwitABgitoTTao90RxwbNTADJuqAQAAABCLCC0AmCJ4akiS26lBfVJtqgYAAABALCK0AGCK4J1DRgzoJZfTYVM1AAAAAGIRoQUAU2zZfyLgOYtwAgAAAAgXoQUAU2zZVxfwnO1OAQAAAISL0AJAxBmGoa1BIy1GDSS0AAAAABAeQgsAEVd9rFEnmjwBxwgtAAAAAISL0AJAxAUvwpme7NbAjGSbqgEAAAAQqwgtAETclqDtTkcNSJfDwc4hAAAAAMJDaAEg4rYEjbQYydQQAAAAAF1AaAEg4oJDi9GEFgAAAAC6gNACQER5vD5tOxi4c8hItjsFAAAA0AWEFgAiavfhejV7fAHHCC0AAAAAdAWhBYCICp4a0j89SX3SEm2qBgAAAEAsI7QAEFHBocUoRlkAAAAA6CJCCwARtTV4u1MW4QQAAADQRYQWACJqS3BowUgLAAAAAF1EaAEgYhpbvNpVezLg2EhGWgAAAADoIkILABGz7cAJ+YzAYyOye9lTDAAAAICYR2gBIGKC17Mo6JOitCS3TdUAAAAAiHWEFgAipvV6Fhk2VQIAAACgJyC0ABAxW4O3Ox3I1BAAAAAAXUdoASBitu4/EfB8JDuHAAAAAOgGQgsAEVHX2KK9RxsCjo1i5xAAAAAA3UBoASAiPg1az8LtdGhoP6aHAAAAAOg6QgsAEbFlX+DUkKH905To5lsMAAAAgK7jjgJARARvd8p6FgAAAAC6i9ACQERsCd45hNACAAAAQDcRWgDoNsMwtCV4pAWLcAIAAADoJkILAN1We6JZh082BxxjpAUAAACA7iK0ANBtwetZJCc4VdAn1aZqAAAAAPQUhBYAui14PYuRA9LlcjpsqgYAAABAT0FoAaDb2gotAAAAAKC7CC0AdFvwIpysZwEAAAAgEggtAHSLz2foU3YOAQAAAGACU0OLtWvX6oEHHtC0adOUn5+vpKQk9erVSyNHjtTNN9+s8vJyM7sHYIG9Rxt0stkbcIyRFgAAAAAiwW3WG1900UVauXJlq+PNzc369NNP9emnn+rpp5/WTTfdpN/+9rdKTEw0qxQAJgreOSQzJUEDMpJsqgYAAABAT2JaaFFdXS1Jys3N1Re/+EVdeOGFGjRokLxer9577z2VlZVp7969euaZZ9TS0qI///nPZpUCwESb97Vez8LhYOcQAAAAAN1nWmgxevRo/fd//7dmz54tl8sV8NrnP/95feUrX9HkyZO1detWPffcc/rmN7+piy66yKxyAJgkeKTFyIG9bKoEAAAAQE9j2poWr776qkpLS1sFFqf169dPZWVl/ud//etfzSoFgImCtztlPQsAAAAAkWLr7iFTp071P96+fbuNlQDoihavTzsOngw4NpLQAgAAAECE2BpaNDU1+R+3NyIDQPTafeikmr2+gGOj2O4UAAAAQITYGlqsWLHC//iss86ysRIAXRG8COeAjCRlpbITEAAAAIDIMG0hzs74fD498sgj/uelpaVhv0dVVVWHr9fU1IT9ngBCtzUotGBqCAAAAIBIsi20ePzxx7V69WpJ0nXXXafzzjsv7PcoKCiIdFkAwrBlP4twAgAAADCPLdNDVqxYoXvuuUeSlJ2drSeffNKOMgB009b9JwKej2Q9CwAAAAARZPlIi08++USzZs2Sx+NRcnKyXnjhBWVnZ3fpvSorKzt8vaamRpMmTerSewPoWGOLV7sOBe4cMprQAgAAAEAEWRpa7Ny5U9OmTdORI0fkcrn0/PPP66KLLury++Xn50ewOsBaPp+hRo9XyW6XnE5HxNub3cen+0/IMD577nBIw7N7hVQXAAAAAITCstCiurpal112maqrq+VwOPS73/1OM2fOtKp7IGpsrK7TgvIdWlaxTw0tXqUkuDS9aKDmlQzVmNyMbre3oo+N1XW6/5VPAo6lJrq0q7a+3ZoAAAAAIFwOwzjzd6XmqK2t1ZQpU7Rx40ZJ0i9/+UvddtttZnerqqoq/2KdlZWVjMyA7Zas36v5izbI42v9Zed2OlRWWqyZY/O63N6KPrpSEwAAAICezaz7b9MX4jx27JiuuOIKf2DxyCOPWBJYANFmY3Vduzf7kuTxGZq/aIM2Vtd1qb0VfXSlJgAAAADoKlOnh9TX1+vKK6/UunXrJEn/+Z//qbvvvtvMLoGotaB8R7s3+6d5fIbmPbNGRXmZqqg6FlZ7SWGfY1b7heU7VVZa3GE7AAAAAOiMaaFFc3OzZs2apVWrVkmS7rjjDv34xz82qzsgqvl8hpZV7AupbfXRRlUfbQz5vcNtb0UfSytq9Nj154a8YCgAAAAAtMW00OKGG27Q3//+d0nSJZdcorlz5+rjjz9ut31iYqJGjhxpVjmArRo9XjW0eO0uwzINLV41erxKTbR8V2UAAAAAPYhpdxSLFy/2P37rrbd07rnndth+8ODB2rVrl1nlALZKdruUkuCKm+AiJcGlZLfL7jIAAAAAxDjTF+IEIDmdDk0vGhhS27NzMjT/8pEakxPa1qGn23flHLPazyjKYWoIAAAAgG4zbaSFBTupAjFlXslQvby+usOFLN1Ohx77YrHG5Gbo0rMG6JpflofcXlLY55jVfm5JYbuvAwAAAECoGGkBWGRMbobKSovlaGcAgtvpUFnpZwHE6fbudkYsBLfvyjlmtwcAAACA7mCVPMBCM8fm6bf/2KGPq+v8xxJcDl1TnKe5JYWtbvZnjs3TiOx0LSzfqaUVNWpo8SolwaUZRTlttu/KOWa3BwAAAICuchg9eB5HVVWVCgoKJEmVlZXKz8+3uSJAmvDjN1V7osn//Mkbx2v6OTmdnufzGWr0eJXsdoW8XkS455jdHgAAAEDPZNb9NyMtAAsdq28JCCwkaUR2ekjnOp2OsLcQDfccs9sDAAAAQDhY0wKw0PbaEwHP3U6HBvdNtakaAAAAAIhuhBaAhXYcPBnwfFDfVCW4+DIEAAAAgLZwtwRYaPvBwJEWQ/v1sqkSAAAAAIh+hBaAhbYfCAwthmWn2VQJAAAAAEQ/QgvAQsEjLYb1Z6QFAAAAALSH0AKwSIvXpz2H6wOOEVoAAAAAQPsILQCLVB6uV4vXCDg2rD/TQwAAAACgPYQWgEW2B+0c0jctUVmpiTZVAwAAAADRj9ACsAjrWQAAAABAeAgtAIuwcwgAAAAAhIfQArDIjtrA6SGMtAAAAACAjhFaABYwDEPbgkZaDGURTgAAAADoEKEFYIHDJ5t1rKEl4BgjLQAAAACgY4QWgAWCdw5JdDmV3zvVpmoAAAAAIDYQWgAWCN45pLBfmlxOh03VAAAAAEBsILQALLAjeLtTdg4BAAAAgE4RWgAWCJ4eMrQf61kAAAAAQGcILQALBE8PYaQFAAAAAHSO0AIwWWOLV5WH6wOOsXMIAAAAAHSO0AIw2e5D9fIZgceGEloAAAAAQKcILQCTBS/COTAjWb2S3DZVAwAAAACxg9ACMFnwehZD+7OeBQAAAACEgtACMFnwziGsZwEAAAAAoSG0AEzWaucQRloAAAAAQEgILQATGYahHcEjLbIZaQEAAAAAoSC0AEx04HiTTjR5Ao6xcwgAAAAAhIbQAjDR9gOBU0NSElzKyUi2qRoAAAAAiC2EFoCJ2to5xOl02FQNAAAAAMQWQgvAROwcAgAAAABdR2gBmKj1ziGEFgAAAAAQKkILwETBO4cMZbtTAAAAAAgZoQVgkvpmj/YebQg4xkgLAAAAAAgdoQVgkuBRFg6HVNiPkRYAAAAAECpCC8AkwetZ5GWlKCXRZVM1AAAAABB7CC0AkwSPtGBqCAAAAACEh9ACMEnwSAsW4QQAAACA8BBaACbZzkgLAAAAAOgWQgvABD6foZ21gSMtCC0AAAAAIDyEFoAJqo81qLHFF3BsWDbTQwAAAAAgHIQWgAmCp4akJ7nVv1eSTdUAAAAAQGwitABMsP1A0CKc2b3kcDhsqgYAAAAAYhOhBWCC4J1DhrFzCAAAAACEjdACMEHr0IJFOAEAAAAgXIQWgAl2sN0pAAAAAHQboQUQYXWNLTpwvCngGNNDAAAAACB8hBZAhAWPsnA5HRrUN9WmagAAAAAgdhFaABEWvHPIoD6pSnK7bKoGAAAAAGIXoQUQYewcAgAAAACRQWgBRBiLcAIAAABAZBBaABEWPNJiKCMtAAAAAKBLCC2ACPJ4fdp1iJEWAAAAABAJhBZABFUeaVCL1wg4RmgBAAAAAF1DaAFEUPDOIX3SEtU7LdGmagAAAAAgthFaABG0o5adQwAAAAAgUggtgAjafiBwPYuh/ZgaAgAAAABdRWgBRFDwziHDshlpAQAAAABdRWgBRFCr0IJFOAEAAACgywgtgAg5fLJZR+pbAo4RWgAAAABA1xFaABGyI2iURYLLofzeKTZVAwAAAACxj9ACiJDgqSFD+qbJ7eJLDAAAAAC6ijsqIEK2HwzcOYSpIQAAAADQPaaGFgcOHNCrr76q++67T9OnT1e/fv3kcDjkcDj01a9+1cyuActtP8DOIQAAAAAQSW4z33zAgAFmvj0QVXbUMtICAAAAACLJsukhgwYN0rRp06zqDrBUk8erPYfrA44NJbQAAAAAgG4xdaTFfffdp4kTJ2rixIkaMGCAdu3apcLCQjO7BGyx51C9vD4j4NjQ/kwPAQAAAIDuMDW0+NGPfmTm26MH8fkMNXq8Sna75HQ6It7e7D6Cdw7JTk9SRnJCSHUBAAAAANpmamgBdGZjdZ0WlO/Qsop9amjxKiXBpelFAzWvZKjG5GZ0u70VfWysrtMTb20LOGYYp463VxMAAAAAoHNseQrbLFm/V9f8slyL1+1VQ4tXktTQ4tXidaeOL1m/t1vtrejjdPtPqusCjh880dRuTQAAAACA0DDSArbYWF2n+Ys2yBO0DsRpHp+hu/6yQSebPBrcN027D53UD176RF4jtPaSwj7HjPbzF23QiOx0RlwAAAAAQBfEdGhRVVXV4es1NTUWVYJwLSjf0W5gcZrXMPT9Fz8O+T3DbW9FHx6foYXlO1VWWhxWXQAAAACAGA8tCgoK7C4BXeDzGVpWsc/uMiyztKJGj11/bsgLhgIAAAAATmFNC1iu0eP1rxcRDxpavGr0xM/nBQAAAIBIiemRFpWVlR2+XlNTo0mTJllUDUKV7HYpJcEVcnDRJzVBh+tbQn7/vmmJkqRDJ5tDPifcPsJpn5LgUrLbFfJ7AwAAAABOiemRFvn5+R3+ycnJsbtEtMHpdGh60cCQ2s4en691903TdePzQm7/wQ8u1wc/uDysc8LtI5z2M4pymBoCAAAAAF0Q06EFYte8kqFyd3Ij73Y6NLeksEvtreijKzUBAAAAAEJHaAFbjMnNUFlpsdq753c7HSorLfZvFXq6fXshQXD7rpxjdnsAAAAAQHhiek0LxLaZY/P0/Jo9em/7Yf8xt9OhmWPzNLeksNXN/syxeRqRna6F5Tu1tKJGDS1epSS4NKMop832XTnH7PYAAAAAgNA5DMMwrOps165dKiw8NVR+zpw5evrpp03tr6qqyr8tamVlpfLz803tD+H7wv/8Q5v3Hfc/f/i6c3TDpMGdnufzGWr0eJXsdoW8XkS455jdHgAAAAB6CrPuvxlpAdsYhqFdh04GHCvs1yukc51Oh1ITw/vnG+45ZrcHAAAAAHTM1Dus8vJybdu2zf+8trbW/3jbtm2tRlp89atfNbMcRJkDx5vU2OILODakb5pN1QAAAAAAoo2pocWCBQv0hz/8oc3XVq1apVWrVgUcI7SIL7sP1Qc8T3I7lZ2eZFM1AAAAAIBow+4hsE3w1JDBfVNZCwIAAAAA4GdqaPH000/LMIyQ/yC+7G4VWjA1BAAAAADwGUZawDa7gqaHDOmbalMlAAAAAIBoRGgB2zDSAgAAAADQEUIL2MIwDO2uDRxpMZiRFgAAAACAMxBawBZH6lt0vMkTcIztTgEAAAAAZyK0gC2Cdw5JcDmUk5lsUzUAAAAAgGhEaAFbBK9nUdA7VW4X/xwBAAAAAJ/hLhG22MV6FgAAAACAThBawBbsHAIAAAAA6AyhBWyx+zAjLQAAAAAAHSO0gC12HwoMLdg5BAAAAAAQjNACljvW0KLDJ5sDjjHSAgAAAAAQjNACltsTNMrC6ZDyexNaAAAAAAACEVrAcruCFuHM652iRDf/FAEAAAAAgbhThOX2BC/C2Yf1LAAAAAAArRFawHK7aoO3O2VqCAAAAACgNUILWI6dQwAAAAAAoSC0gOWC17RgpAUAAAAAoC2EFrBUfbNHB443BRwb0o+RFgAAAACA1ggtYKngRTglaVAfRloAAAAAAFojtICldtUGhhYDM5KVnOCyqRoAAAAAQDQjtICldrOeBQAAAAAgRIQWsNQudg4BAAAAAISI0AKWajXSoh8jLQAAAAAAbSO0gKV2B420GNyHkRYAAAAAgLYRWsAyTR6vqo81BBxjTQsAAAAAQHsILWCZysMNMozAY4QWAAAAAID2EFrAMsHrWfTrlaj05ASbqgEAAAAARDtCC1gmeOeQwewcAgAAAADoAKEFLNNq5xCmhgAAAAAAOkBoAcuwcwgAAAAAIByEFrBM8EiLIf0YaQEAAAAAaB+hBSzR4vWp6kjwdqeMtAAAAAAAtI/QApaoPtogjy9wv9MhrGkBAAAAAOgAoQUsEbxzSGZKgrJSE22qBgAAAAAQCwgtYIk97BwCAAAAAAgToQUsETzSgvUsAAAAAACdIbSAJVrtHMJICwAAAABAJwgtYAlGWgAAAAAAwkVoAdN5fYb2BIUWjLQAAAAAAHSG0AKm21fXqGavL+DYIEILAAAAAEAnCC1guuD1LFITXerfK8mmagAAAAAAsYLQAqbb3cZ6Fg6Hw6ZqAAAAAACxgtACptvFziEAAAAAgC4gtIDpdteycwgAAAAAIHyEFjBd8EiLwYy0AAAAAACEgNACpjIMQ3sOB4+0ILQAAAAAAHSO0AKmOniiSfXN3oBjQ5geAgAAAAAIAaEFTBW8c0ii26mBGck2VQMAAAAAiCWEFjDVrtqg9Sz6pMrpZLtTAAAAAEDnCC1gquCRFuwcAgAAAAAIFaEFTLWbRTgBAAAAAF1EaAFT7Q7a7nQIoQUAAAAAIESEFjCNYRjaGbymBdNDAAAAAAAhIrSAaY7Wt+h4oyfgGNudAgAAAABCRWgB0+wKmhridjqUm8V2pwAAAACA0BBawDTBO4fk906R28U/OQAAAABAaLiDhGnY7hQAAAAA0B2EFjANO4cAAAAAALqD0AKmCV7TgpEWAAAAAIBwEFrANMHTQ4b0Y6QFAAAAACB0hBYwxfHGFh062RxwbFAfRloAAAAAAEJHaAFTBI+ycDikgj4pNlUDAAAAAIhFhBYwRXBokZuZoiS3y6ZqAAAAAACxiNACpghehJP1LAAAAAAA4SK0gCmCtztl5xAAAAAAQLgsCy12796t+fPna/To0UpLS1OfPn00ceJEPfbYY6qvr+/8DRBTdgXvHNKXkRYAAAAAgPC4rejklVde0Y033qi6ujr/sfr6eq1du1Zr167VggUL9Nprr2n48OFWlAML7AkKLdg5BAAAAAAQLtNHWnz44Yf60pe+pLq6OvXq1UsPPfSQ3n33XS1fvly33HKLJGnr1q268sordfz4cbPLgQUamr3aV9cYcIw1LQAAAAAA4TJ9pMUdd9yhhoYGud1u/f3vf9f555/vf+2SSy7RiBEj9L3vfU9bt25VWVmZ7r//frNLgsn2HG493WdQH0ILAAAAAEB4TB1psXr1aq1cuVKSNHfu3IDA4rT58+frrLPOkiT9/Oc/V0tLi5klxQSfz1B9s0c+n2FKe7P7CN45ZEBGklITLZmJBAAAAADoQUy9k3zppZf8j2+++eY22zidTt1000269957dfToUb399tuaNm2amWVFrY3VdVpQvkPLKvapocWrlASXphcN1LySoRqTm9Ht9lb0sbG6Tr9869OAYx6foY3Vde3WBAAAAABAW0wdaVFeXi5JSktL03nnndduuylTpvgfr1q1ysySotaS9Xt1zS/LtXjdXjW0eCVJDS1eLV536viS9Xu71d6KPk63r9hbF3D80InmdmsCAAAAAKA9po602LRpkyRp+PDhcrvb72r06NGtzoknG6vrNH/RBnnamXrh8Rm6a9EGZSQnaHh2L207cEJ3Ldogb4jtJYV9jhnt5y/aoBHZ6Yy4AAAAAACExLTQorGxUbW1tZKk/Pz8Dtv27t1baWlpOnnypCorK0Puo6qqqsPXa2pqQn4vOy0o39FuYHGa12fo5qfXhPye4ba3og+Pz9DC8p0qKy0Oqy4AAAAAQHwyLbQ4c/vSXr16ddr+dGhx4sSJkPsoKCjoUm3RxOcztKxin91lWGZpRY0eu/5cOZ0Ou0sBAAAAAEQ509a0aGxs9D9OTEzstH1SUpIkqaGhwaySolKjx+tfLyIeNLR41eiJn88LAAAAAOg600ZaJCcn+x83Nzd32r6pqUmSlJKSEnIfnU0lqamp0aRJk0J+Pzsku11KSXDFTXCRkuBSsttldxkAAAAAgBhg2kiL9PR0/+NQpnycPHlSUmhTSU7Lz8/v8E9OTk74hVvM6XRoetHAkNpeOzZXmx74gmaOzQ2rfVfOMav9jKIcpoYAAAAAAEJiWmiRnJysvn37Sup8wcwjR474Q4uesE5FuOaVDJW7kxt5t9Ohr180TCmJLn3jomFhte/KOWa1n1tS2GEbAAAAAABOMy20kKQxY8ZIkrZt2yaPx9Nuu82bN/sfn3XWWWaWFJXG5GaorLS43Zt+t9OhstJi/1ah4ba3oo+u1AQAAAAAQEdMW9NCkkpKSrRy5UqdPHlSH3zwgT73uc+12W7FihX+x5MnTzazpKg1c2yeRmSna2H5Ti2tqFFDi1cpCS7NKMrR3JLCVjf74ba3oo+u1AQAAAAAQHschmEYZr356tWr/UHFN77xDT311FOt2vh8Pp1zzjnatGmTsrKydODAASUkJESk/6qqKv90k8rKSuXn50fkfc3m8xlq9HiV7HaFtP5DuO2t6KMrNQEAAAAAYpNZ99+mTg+ZNGmSLrzwQknSwoUL9d5777VqU1ZWpk2bNkmS7rjjjogFFrHM6XQoNdEd8s1+uO2t6KMrNQEAAAAAcCZTp4dI0s9//nNNnjxZDQ0NmjZtmr7//e9r6tSpamho0PPPP6/f/OY3kqSRI0dq/vz5ZpcDAAAAAABihOmhxbhx4/SXv/xFN954o+rq6vT973+/VZuRI0fqtddeC9gmFQAAAAAAxDdTp4ecdvXVV+ujjz7Sd77zHY0cOVKpqanKysrShAkT9Oijj+rDDz/U8OHDrSgFAAAAAADECFMX4rRbrC7ECQAAAABALInJhTgBAAAAAAC6itACAAAAAABEJUILAAAAAAAQlQgtAAAAAABAVCK0AAAAAAAAUYnQAgAAAAAARCVCCwAAAAAAEJUILQAAAAAAQFQitAAAAAAAAFGJ0AIAAAAAAEQlQgsAAAAAABCVCC0AAAAAAEBUIrQAAAAAAABRidACAAAAAABEJUILAAAAAAAQlQgtAAAAAABAVCK0AAAAAAAAUYnQAgAAAAAARCVCCwAAAAAAEJUILQAAAAAAQFRy212AmTwej/9xTU2NjZUAAAAAANBznXnPfea9eHf16NDi4MGD/seTJk2ysRIAAAAAAOLDwYMHNWTIkIi8F9NDAAAAAABAVHIYhmHYXYRZGhsbVVFRIUnq37+/3O7oH1hSU1PjHxWyevVq5eTk2FwRzMB1jg9c5/jAdY4PXOf4wHXu+bjG8YHrbA+Px+Of7VBUVKTk5OSIvG/038V3Q3JysiZOnGh3GV2Wk5Oj/Px8u8uAybjO8YHrHB+4zvGB6xwfuM49H9c4PnCdrRWpKSFnYnoIAAAAAACISoQWAAAAAAAgKhFaAAAAAACAqERoAQAAAAAAohKhBQAAAAAAiEqEFgAAAAAAICoRWgAAAAAAgKjkMAzDsLsIAAAAAACAYIy0AAAAAAAAUYnQAgAAAAAARCVCCwAAAAAAEJUILQAAAAAAQFQitAAAAAAAAFGJ0AIAAAAAAEQlQgsAAAAAABCVCC0AAAAAAEBUIrQAAAAAAABRidDCJLt379b8+fM1evRopaWlqU+fPpo4caIee+wx1dfXR6yfZcuWadasWcrPz1dSUpLy8/M1a9YsLVu2LGJ9oH1mXuf6+notXrxY3/rWtzRx4kT17t1bCQkJ6tu3r84//3zdf//92rdvX4Q+CTpi1dfzmerr6zV06FA5HA45HA4NGTLElH7wGSuv85tvvqmvfvWrGj58uNLS0pSZmamRI0fq+uuv15NPPqkTJ05EtD98xorrvGvXLt19990677zzlJWVpYSEBPXp00cXXHCBHnjgAR04cCAi/eAzBw4c0Kuvvqr77rtP06dPV79+/fzfP7/61a+a0udzzz2nadOmaeDAgUpOTtbgwYN144036r333jOlP1h3nY8dO6Y//elPuvnmm1VcXKzMzEwlJCSof//+mjp1qsrKynT06NGI9YdAdnw9n6mmpka9e/f293nxxReb3ic6YSDiXn75ZSMjI8OQ1OafkSNHGp9++mm3+vB6vcbcuXPb7UOSMW/ePMPr9UboUyGYmdd5w4YNRq9evTq8vpKMjIwM4/nnn4/wJ8OZrPh6bsv8+fMD+hk8eHDE+8BnrLrOhw8fNmbOnNnp1/aHH37Y/Q+FVqy4zs8884yRkpLS4fXt06eP8fe//z1CnwqGYXT49z1nzpyI9lVfX2/MmDGj3f6cTqdx//33R7RPnGLFdV66dKmRlJTU6ffpgQMHGm+99VZE+kQgK7+e2zJ79uyAPqdMmWJ6n+gYoUWErVu3zv/DSq9evYyHHnrIePfdd43ly5cbt9xyS8APRnV1dV3u55577vG/17hx44znnnvOWL16tfHcc88Z48aN87927733RvDT4TSzr/PKlSv97zF58mTj4YcfNt544w1j3bp1xt/+9jfjG9/4huF0Og1JhsvlMpYuXWrCp4RVX89t9etyuYzk5GQjPT2d0MJkVl3no0ePGuedd57//WbNmmX86U9/Mt5//31jzZo1xuLFi4077rjDyM/PJ7QwgRXXuby83P+92el0GjfffLPx0ksvGatXrzb++te/GldffbW/n5SUFGP79u0R/pTx68wbjEGDBhnTpk0z7Sbn3/7t3/zvPXXqVP81XrhwoTFs2DD/a7/+9a8j2i+suc7PPvus/2v4iiuuMB5//HHjrbfeMtatW2e8/PLLxpe+9CV/n6mpqXy/NoGVX8/BXn75ZUOSkZ2dTWgRRQgtIuzCCy80JBlut9t49913W73+k5/8xP8F8MMf/rBLfWzZssVwu92GJGPChAlGfX19wOsnT540JkyY4K/DjN8Cxzuzr/OqVauM0tJS45NPPmm3zUsvvWQ4HA5DkjFs2DDD5/OF3Q86ZsXXczCPx+O/sX3ggQeMwYMHE1qYzKrr/JWvfMWQZCQlJRlLlixpt53P5zNaWlq63A/aZsV1vvLKK/3v8atf/arNNnfddZe/zW233dalftDafffdZ7zyyivGvn37DMMwjJ07d5pyk7N8+XL/+1599dWGx+MJeP3gwYPGoEGDDElGVlaWcfjw4Yj1DWuu8/PPP2984xvfMHbv3t1um1/84hcBwRUiy6qv52DHjx83CgoKDEnGM888Q2gRRQgtIuif//yn/x/3N77xjTbbeL1e46yzzvL/Z9bc3Bx2P9/61rf8/bz33ntttnnvvff8bW699daw+0D7rLrOoThz+NoHH3xgSh/xyq7rXFZWZkgyRo0aZTQ1NRFamMyq63zm6KnHHnusu2UjTFZd5969exuSjL59+7bb5ujRo/5axo8fH3YfCI1ZNznTp0/3h1+VlZVttnnuuef8ff/kJz+JWN9ozaqb2bac/gWh0+k0Dh48aGnf8caq63z77bcHBFGEFtGDhTgj6KWXXvI/vvnmm9ts43Q6ddNNN0mSjh49qrfffjusPgzD0JIlSyRJo0eP1uc///k2233+85/XqFGjJElLliyRYRhh9YP2WXGdQzV16lT/4+3bt5vSR7yy4zrv3r1b9913nyTpqaeeUmJiYrfeD52z6jr/8pe/lCRlZmbq29/+dviFolusus7Nzc2SpMLCwnbbZGZmql+/fgHtERuOHz+u5cuXS5Iuu+wy5efnt9nuuuuuU0ZGhiTpxRdftKw+WOv04ow+n087d+60txh02+rVq/WrX/1KiYmJevLJJ+0uB0EILSKovLxckpSWlqbzzjuv3XZTpkzxP161alVYfezcuVPV1dWt3qejfvbu3atdu3aF1Q/aZ8V1DlVTU5P/scvlMqWPeGXHdb711lt18uRJfeUrX2GlaotYcZ2bm5v9YfPll1+u5ORkSZLX61VlZaV27dqlxsbGcEtHGKz6ej79y4KObmDq6upUW1sb0B6xYc2aNf6gqaOfwRITE/2/VFqzZo1aWlosqQ/W4mewnsPj8eiWW26Rz+fT3XffzffmKERoEUGbNm2SJA0fPlxut7vddqNHj251Tqg2btzY5vtEuh+0z4rrHKoVK1b4H5911lmm9BGvrL7Ozz//vJYuXarevXurrKysy++D8FhxnTds2OAPJYqKilRXV6c777xT/fr106BBg1RYWKjMzExdfvnleuedd8L/EOiUVV/P3/zmNyVJhw4d0lNPPdVmmwcffLBVe8SGrvwM5vF49Omnn5paF+xx+mewhIQEDR8+3OZq0B0//elP9dFHH2n48OH6/ve/b3c5aAOhRYQ0Njb6f3PS3nDB03r37q20tDRJUmVlZVj9VFVV+R931k9BQYH/cbj9oG1WXedQbNiwQa+99pqkUzdChBaRY/V1PnLkiO68805J0iOPPKL+/ft36X0QHquu85k3Oj6fTxMmTNDPf/5zHT161H+8ublZb775pi655BI9+uijYb0/Ombl1/PXvvY1/xST2267TbfccoteeeUVrV27VosXL9asWbP005/+VJL0n//5n7rsssvC7gP24WcwnPbaa6/po48+kiRdccUV/ulAiD3bt2/XAw88IEn61a9+5R8NiehCaBEhx48f9z/u1atXp+1P/1B04sQJ0/o53UdX+kHbrLrOnWlqatK8efPk9XolSQ899FBE3z/eWX2dv/vd72r//v06//zzdcstt3TpPRA+q67z4cOH/Y8fffRRffrpp/rCF76g1atXq7GxUQcOHNCTTz6pzMxMGYahe+65xz+dBN1n5dezy+XSH/7wB73wwgsqLi7WggULdM0112jixImaPXu2XnrpJU2dOlVvvPGGfvzjH4f9/rAXP4NBOvU9/bbbbpN06mv+9A0vYtM3v/lNNTQ06Etf+pKmTZtmdzloB6FFhJw5HzmUxfOSkpIkSQ0NDab1c7qPrvSDtll1nTvz7W9/W2vXrpUkzZkzR1dffXVE3z/eWXmd//GPf+h3v/ud3G63nnrqKTkcjrDfA11j1XU+efJkQJ+XX365Xn31VU2cOFFJSUnq37+/vvnNb+rVV1+V03nqv+V7772XBZQjxOrv25s2bdIzzzyjioqKNl9/7733tHDhQu3du7dL7w/78DMYvF6v/v3f/127d++WJP3Xf/2Xxo0bZ3NV6KpnnnlGb775pjIyMvT444/bXQ46QGgRIWcOJQplNfDTi/ekpKSY1s+ZCwSF2w/aZtV17sjDDz+sBQsWSJImTpyoX/3qVxF7b5xi1XVuamrS17/+dRmGoTvuuEPnnntueIWiW+z4vi2dGm3R1qJtJSUluu666ySduvFt76YX4bHy+/bKlSt1/vnn65VXXlFeXp6effZZ7du3T83NzaqsrNSvfvUrpaam6vnnn9ekSZP0ySefhN0H7MPPYLj11lv1+uuvS5Kuuuoq/eAHP7C5InRVbW2t5s+fL+nUiOWcnBybK0JHCC0iJD093f84lGGAp3/zFspQ1a72c+Zv98LtB22z6jq359e//rV/gaDRo0dr6dKlAUNQERlWXeeHHnpIW7ZsUUFBgX70ox+FVyS6zY7v2/379+/wt3JXXHGF//GaNWvC6gdts+o6NzU16YYbbtCxY8c0cOBAvf/++7rxxhs1YMAAJSQkKD8/X7feeqv+8Y9/KDk5WdXV1ZozZ054Hwa24mew+HbvvffqN7/5jSTpwgsv1KJFi9g1JIbdddddqq2t1YQJE3TrrbfaXQ460f4S2ghLcnKy+vbtq0OHDgUs1NSWI0eO+P8zO3OhplCcufBTZ/2cufBTuP2gbVZd57Y899xz/m+qgwcP1htvvKF+/fp1+33RmlXX+fSCi5dddpleeeWVNtucfu+TJ0/q+eeflyRlZ2frkksuCasvtGbVdT6zfTiL9x08eDCsftA2q67z66+/7p/ycfvtt2vgwIFttjv77LN14403asGCBfrggw+0YcMGFRcXh9UX7BH8M9iECRPabcvPYD3Lo48+qkceeUSSNH78eL366quMoIlh1dXVevbZZyVJl1xyiRYtWtRh+wMHDvh/BissLNTnPvc502tEIEKLCBozZoxWrlypbdu2yePxtLut2ubNm/2Pw93xYcyYMW2+T6T7QfusuM7BXn75Zd10003y+XzKycnR8uXLO735QfdYcZ1PDy/+/e9/r9///vcdtq2trdUNN9wgSZoyZQqhRYRYcZ3PPvts/+PTi+e258zXO9qaE+Gx4jqfuUXq+PHjO2x73nnn+af5bd68mdAiRnTlZzC3260RI0aYWhfM9b//+7+65557JJ36vvC3v/2N3UJi3JnTu37yk5902n7Tpk3+n8HmzJlDaGEDpodEUElJiaRTvxH94IMP2m13el9nSZo8eXJYfRQWFio3N7fV+7TlH//4hyQpLy9PQ4YMCasftM+K63ym5cuXq7S0VB6PR3379tUbb7yhYcOGdfn9EBqrrzPsYcV1Hjx4sAYNGiRJ2rVrV4cLbG7fvt3/OC8vL6x+0D4rrvOZQYjH4+mwbUtLS5vnIbpNnDjRvwBnRz+DNTc36/333/efk5CQYEl9iLxnn31W3/72tyVJQ4cO1ZtvvskoV8AGhBYRdO211/oft/dbU5/Pp2eeeUaSlJWVpalTp4bVh8Ph0MyZMyWdSvFP/6cY7P333/en/DNnzmRHggiy4jqf9u6772rmzJlqampSZmam/va3vwX81hbmseI6G4bR6Z/BgwdLOnXje/rYO++806XPhNas+nqePXu2JKmurk7Lly9vt93ixYv9j0/faKP7rLjOhYWF/scrV67ssO2ZN7xnnofolp6erksvvVSS9Oabb7Y73Wjx4sWqq6uTJM2aNcuy+hBZixcv1s033yzDMJSfn6/ly5f7f3GI2DZkyJCQfgY7bcqUKf5jTz/9tH2FxzMDEXXhhRcakgy32228++67rV7/yU9+YkgyJBk//OEPW73+9ttv+1+fM2dOm31s2bLFcLlchiRjwoQJRn19fcDr9fX1xoQJE/x1bN26NRIfDWew4jp/+OGHRlZWliHJSEtLM8rLyyP8KdAZK65zZwYPHmxIMgYPHtyl89E5K67z7t27jeTkZEOSUVRUZBw7dqxVm2effdb/PldeeWV3PxaCmH2djxw5YqSmphqSjPT0dOOjjz5qs46lS5caTqfTkGTk5eUZXq+3ux8Nbdi5c2fY339///vfd/hvwDAMY/ny5f4211xzjeHxeAJeP3jwoDFo0CBDkpGVlWUcPny4m58EHTHrOv/tb38zEhMTDUlGdna2sXnz5sgVjbCZdZ07c/r8KVOmdOl8RA5jEiPs5z//uSZPnqyGhgZNmzZN3//+9zV16lQ1NDTo+eef9686PHLkSP82O+EaOXKkvvvd7+qRRx7R2rVrNXnyZN19990aNmyYtm/frkcffVQffvihJOm73/0ucylNYPZ13r59u6644godPXpUkvTjH/9YmZmZ+vjjj9s9Jzs7W9nZ2V36PGibFV/PsJ8V13nQoEF64IEH9L3vfU8VFRWaNGmS7r77bp177rmqq6vT4sWL9eSTT0oS+8WbxOzrnJWVpXvuuUf33Xefjh8/rgsuuEC33367Lr/8cvXu3Vv79+/XkiVL9Nvf/lY+n0+S9Mgjj8jpZNBrJJSXl2vbtm3+57W1tf7H27Zta/Xb0a9+9atd6ueSSy7Rv/3bv+n555/Xyy+/rMsvv1x33nmncnNzVVFRoYceekh79uyRdGrxxt69e3epH7TNiuv8/vvva9asWWpublZCQoIef/xxtbS0dPgzWH5+vrKyssLuC22z6usZMcTu1KQnevnll42MjAx/Ohf8Z+TIkcann37a5rmh/mbW6/UaX/va19rtQ5Ixd+5cfoNjIjOv85npcKh/upoio2NWfD13hJEW1rDqOt9zzz2Gw+Fot5/s7Ow2RwEgMsy+zj6fz7jzzjs7vMaSjISEBOOxxx4z8ZPGnzlz5oT1f2ZbQv3NbH19vTFjxox239vpdPJ/skmsuM4//OEPw/4Z7Pe//725HzzOWPn13JHT5zPSwn7E+ya4+uqr9dFHH+k73/mORo4cqdTUVGVlZWnChAn+URDDhw/vVh9Op1MLFy7Ua6+9ppkzZyo3N1eJiYnKzc3VzJkztXTpUi1YsIDf4JjIiusM+3Gd44NV1/nhhx/WqlWr9JWvfEVDhgxRUlKSMjMzNXHiRD344IPaunWrzj///Ah8IrTF7OvscDj0+OOPa82aNfrmN7+pc845R+np6XK5XMrMzNR5552nu+66Sx9//LH+3//7fxH8ZLBSSkqKXnvtNf3pT3/S5ZdfruzsbCUmJqqgoEBf/vKXVV5ervvvv9/uMgGgx3AYRgfLmAMAAAAAANiEX8MDAAAAAICoRGgBAAAAAACiEqEFAAAAAACISoQWAAAAAAAgKhFaAAAAAACAqERoAQAAAAAAohKhBQAAAAAAiEqEFgAAAAAAICoRWgAAAAAAgKhEaAEAAAAAAKISoQUAAAAAAIhKhBYAAAAAACAqEVoAAAAAAICoRGgBAAAAAACiEqEFAAAAAACISoQWAAAAAAAgKhFaAAAAAACAqERoAQAAAAAAohKhBYD/344dCwAAAAAM8reexo7CCAAAYElaAAAAAEvSAgAAAFiSFgAAAMCStAAAAACWpAUAAACwJC0AAACApQAunAphGlqSJAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 414,
       "width": 534
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "time = np.arange(0, 1.5, simulation_dt)\n",
    "step_input = np.ones_like(time)\n",
    "t, y = ct.input_output_response(controller_simulator, time, step_input)\n",
    "plt.plot(t, y, '.-');"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "1020f95a",
   "metadata": {},
   "source": [
    "## simulating a closed-loop system\n",
    "\n",
    "Now we are able to construct a closed-loop simulation of the full sampled-data system. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f8675193",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 417,
       "width": 547
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 413,
       "width": 547
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plantcont = ct.tf(.5, (0.1, 1), inputs='u', outputs='y')\n",
    "u_summer  = ct.summing_junction(inputs=['-y', 'r'], outputs='e')\n",
    "\n",
    "plant_simulator = ct.c2d(plantcont, simulation_dt, 'zoh')\n",
    "# system from r to y\n",
    "Gyr_simulator = ct.interconnect([controller_simulator, plant_simulator, u_summer], \n",
    "    inputs='r', outputs=['y', 'u'])\n",
    "\n",
    "# simulate\n",
    "t, y = ct.input_output_response(Gyr_simulator, time, step_input)\n",
    "y, u = y # extract respones\n",
    "plt.plot(t, y, '.-', label='y')\n",
    "plt.legend()\n",
    "plt.figure()\n",
    "plt.plot(t, u, '.-', label='u')\n",
    "plt.legend();"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "fb9c601d",
   "metadata": {},
   "source": [
    "## time delays\n",
    "\n",
    "Given that all of the interconnected systems are being simulated in discrete-time with the same small time interval `simulation_dt`, we can construct a system that implements time delays by suitable choice of $A, B, C, $ and $D$ matrices. For example, a 3-step delay has the form \n",
    "\n",
    "$x[k+1] = \\begin{bmatrix}0 & 0 & 0\\\\ 1 & 0 & 0\\\\ 0 & 1 & 0\\end{bmatrix}x[k]+\\begin{bmatrix}1\\\\0\\\\0\\end{bmatrix}u[k]$<br> \n",
    "\n",
    "$~~~~~~~y[k]=\\begin{bmatrix}0 & 0 & 1\\end{bmatrix}x[k]$  \n",
    "\n",
    "The following function creates an arbitrarily-long time delay system, up to the nearest $dt$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "92767723",
   "metadata": {},
   "outputs": [],
   "source": [
    "def time_delay_system(delay, dt, inputs=1, outputs=1, **kwargs):\n",
    "    \"\"\"\n",
    "    creates a pure time delay discrete-time system. \n",
    "    time delay is equal to nearest whole number of `dt`s.\"\"\"\n",
    "    assert delay >= 0, \"delay must be greater than or equal to zero\"\n",
    "    n = int(round(delay/dt))\n",
    "    ninputs = inputs if isinstance(inputs, (int, float)) else len(inputs)\n",
    "    assert ninputs == 1, \"only one input supported\"\n",
    "    A = np.eye(n, k=-1)\n",
    "    B = np.eye(n, 1)\n",
    "    C = np.eye(1, n, k=n-1)\n",
    "    D = np.zeros((1,1))\n",
    "    return ct.ss(A, B, C, D, dt, inputs=inputs, outputs=outputs, **kwargs)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "5a5e6f76",
   "metadata": {},
   "source": [
    "The step response of the time-delay system is shifted to the right."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "e82445c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\n",
       "\\left(\\begin{array}{rllrllrllrllrll|rll}\n",
       "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n",
       "1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n",
       "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n",
       "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n",
       "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n",
       "\\hline\n",
       "0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&1\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}&0\\phantom{.}&\\hspace{-1em}&\\hspace{-1em}\\phantom{\\cdot}\\\\\n",
       "\\end{array}\\right)~,~dt=0.02\n",
       "$$"
      ],
      "text/plain": [
       "StateSpace(array([[0., 0., 0., 0., 0.],\n",
       "       [1., 0., 0., 0., 0.],\n",
       "       [0., 1., 0., 0., 0.],\n",
       "       [0., 0., 1., 0., 0.],\n",
       "       [0., 0., 0., 1., 0.]]), array([[1.],\n",
       "       [0.],\n",
       "       [0.],\n",
       "       [0.],\n",
       "       [0.]]), array([[0., 0., 0., 0., 1.]]), array([[0.]]), 0.02)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 413,
       "width": 547
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "delayer = time_delay_system(.1, simulation_dt, inputs='u', outputs='ud')\n",
    "t, y  = ct.input_output_response(delayer, time, step_input) \n",
    "plt.plot(time, step_input, 'r.-', label='input')\n",
    "plt.plot(t, y, '.-', label='output')\n",
    "plt.legend()\n",
    "delayer"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "862ce22c",
   "metadata": {},
   "source": [
    "We can incorporate this delay into our closed-loop system. The time delay shifts the response to the right and brings the system closer to instability."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d8f6e5b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 413,
       "width": 547
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# incorporate delay into system by relabeling plant input signal\n",
    "plant_simulator = ct.ss(plant_simulator, inputs='ud', outputs='y')\n",
    "\n",
    "# system from r to y\n",
    "Gyr_simulator = ct.interconnect([controller_simulator, plant_simulator, u_summer, delayer], \n",
    "                                inputs='r', outputs='y')\n",
    "\n",
    "# simulate\n",
    "t, y = ct.input_output_response(Gyr_simulator, time, step_input)\n",
    "plt.plot(t, y, '.-');"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "c6c41775",
   "metadata": {},
   "source": [
    "We can also observe how the dynamics behave with a nonlinear plant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "83655c36",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 413,
       "width": 547
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def nonlinear_plant_dynamics(t, x, u, params):\n",
    "    return -10 * x * abs(x) +  u\n",
    "def nonlinear_plant_output(t, x, u, params):\n",
    "    return 5 * x\n",
    "nonlinear_plant = ct.ss(nonlinear_plant_dynamics, nonlinear_plant_output, \n",
    "                        inputs='ud', outputs='y', states=1)\n",
    "\n",
    "# compare step responses \n",
    "t, y = ct.input_output_response(nonlinear_plant, time, step_input)\n",
    "plt.plot(t, y, label='nonlinear')\n",
    "t, y = ct.step_response(plantcont, 1.5)\n",
    "plt.plot(t, y, label='linear')\n",
    "plt.legend();"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "a7a163d6",
   "metadata": {},
   "source": [
    "## now create a closed-loop system. \n",
    "\n",
    "Note that this system is not intended to show operation of well-designed feedback control system. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "dce984be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 413,
       "width": 546
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create zero-order hold approximation of plant2 dynamics\n",
    "def discrete_nonlinear_plant_dynamics(t, x, u, params):\n",
    "    return x + simulation_dt * nonlinear_plant_dynamics(t, x, u, params)\n",
    "nonlinear_plant_simulator = ct.ss(discrete_nonlinear_plant_dynamics, nonlinear_plant_output, \n",
    "                                  dt=simulation_dt,\n",
    "                                  inputs='ud', outputs='y', states=1)\n",
    "\n",
    "# system from r to y\n",
    "nonlinear_Gyr_simulator = ct.interconnect([controller_simulator, nonlinear_plant_simulator, u_summer, delayer], \n",
    "                                inputs='r', outputs=['y', 'u'])\n",
    "\n",
    "# simulate\n",
    "t, y = ct.input_output_response(nonlinear_Gyr_simulator, time, step_input)\n",
    "plt.plot(t, y[0],'.-');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f0fe24a2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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